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40118930880 = 2635753112643
BaseRepresentation
bin100101010111010001…
…100100110111000000
310211112221211211222220
4211113101210313000
51124130421242010
630232543531040
72620120200030
oct452721446700
9124487754886
1040118930880
11160180aa626
1279378b9a80
133a248c3972
141d282c98c0
15109c17a970
hex957464dc0

40118930880 has 224 divisors, whose sum is σ = 148322409984. Its totient is φ = 8996941824.

The previous prime is 40118930867. The next prime is 40118930881. The reversal of 40118930880 is 8803981104.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×401189308802 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40118930881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299839 + ... + 412481.

It is an arithmetic number, because the mean of its divisors is an integer number (662153616).

Almost surely, 240118930880 is an apocalyptic number.

40118930880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40118930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74161204992).

40118930880 is an abundant number, since it is smaller than the sum of its proper divisors (108203479104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40118930880 is a wasteful number, since it uses less digits than its factorization.

40118930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112723 (or 112713 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 40118930880 in words is "forty billion, one hundred eighteen million, nine hundred thirty thousand, eight hundred eighty".