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40779110880 = 2533522941221
BaseRepresentation
bin100101111110100111…
…111101100111100000
310220020222002110201000
4211332213331213200
51132003423022010
630422245512000
72642354503044
oct457647754740
9126228073630
1040779110880
1116326821632
127aa0a12600
133acb600411
141d8bc5a024
1510da0d47c0
hex97e9fd9e0

40779110880 has 192 divisors, whose sum is σ = 143353627200. Its totient is φ = 10826680320.

The previous prime is 40779110863. The next prime is 40779110881. The reversal of 40779110880 is 8801197704.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40779110881) 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, 968670 + ... + 1009890.

It is an arithmetic number, because the mean of its divisors is an integer number (746633475).

Almost surely, 240779110880 is an apocalyptic number.

40779110880 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 40779110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71676813600).

40779110880 is an abundant number, since it is smaller than the sum of its proper divisors (102574516320).

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

40779110880 is a wasteful number, since it uses less digits than its factorization.

40779110880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41474 (or 41460 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 40779110880 in words is "forty billion, seven hundred seventy-nine million, one hundred ten thousand, eight hundred eighty".