40267560960 has 864 divisors, whose sum is σ = 161089961760. Its totient is φ = 9277931520.

The previous prime is 40267560959. The next prime is 40267560989. The reversal of 40267560960 is 6906576204.

40267560960 is a `hidden beast` number, since 4 + 0 + 26 + 7 + 560 + 9 + 60 = 666.

It is a super-2 number, since 2×40267560960² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 256481202 + ... + 256481358.

It is an arithmetic number, because the mean of its divisors is an integer number (186446715).

Almost surely, 2^40267560960 is an apocalyptic number.

40267560960 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 40267560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80544980880).

40267560960 is an abundant number, since it is smaller than the sum of its proper divisors (120822400800).

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

40267560960 is a wasteful number, since it uses less digits than its factorization.

40267560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 40267560960 in words is "forty billion, two hundred sixty-seven million, five hundred sixty thousand, nine hundred sixty".