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40870241280 = 2103451117231
BaseRepresentation
bin100110000100000011…
…100110010000000000
310220111022120101010000
4212010003212100000
51132200240210110
630435303040000
72644542214251
oct460403462000
9126438511100
1040870241280
1116373205210
127b07440000
133b14459a2b
141d99dbcb28
1510e30d61c0
hex9840e6400

40870241280 has 1320 divisors, whose sum is σ = 175195950336. Its totient is φ = 9024307200.

The previous prime is 40870241257. The next prime is 40870241339. The reversal of 40870241280 is 8214207804.

40870241280 is a `hidden beast` number, since 408 + 7 + 0 + 241 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1318394865 + ... + 1318394895.

Almost surely, 240870241280 is an apocalyptic number.

40870241280 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 40870241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87597975168).

40870241280 is an abundant number, since it is smaller than the sum of its proper divisors (134325709056).

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

40870241280 is a wasteful number, since it uses less digits than its factorization.

40870241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 40870241280 in words is "forty billion, eight hundred seventy million, two hundred forty-one thousand, two hundred eighty".