40407125760 has 432 divisors, whose sum is σ = 146710601856. Its totient is φ = 10255859712.

The previous prime is 40407125749. The next prime is 40407125771. The reversal of 40407125760 is 6752170404.

40407125760 is a `hidden beast` number, since 40 + 40 + 7 + 1 + 2 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40407125749) and next prime (40407125771).

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 47 ways as a sum of consecutive naturals, for example, 20032272 + ... + 20034288.

Almost surely, 2^40407125760 is an apocalyptic number.

40407125760 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 40407125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73355300928).

40407125760 is an abundant number, since it is smaller than the sum of its proper divisors (106303476096).

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

40407125760 is a wasteful number, since it uses less digits than its factorization.

40407125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 40407125760 in words is "forty billion, four hundred seven million, one hundred twenty-five thousand, seven hundred sixty".