400540472640 has 1344 divisors, whose sum is σ = 1812877248000. Its totient is φ = 83154677760.

The previous prime is 400540472639. The next prime is 400540472653. The reversal of 400540472640 is 46274045004.

400540472640 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 4 + 0 + 4 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 400540472595 and 400540472604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358585362 + ... + 358586478.

It is an arithmetic number, because the mean of its divisors is an integer number (1348867000).

Almost surely, 2^400540472640 is an apocalyptic number.

400540472640 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 400540472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906438624000).

400540472640 is an abundant number, since it is smaller than the sum of its proper divisors (1412336775360).

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

400540472640 is a wasteful number, since it uses less digits than its factorization.

400540472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 400540472640 in words is "four hundred billion, five hundred forty million, four hundred seventy-two thousand, six hundred forty".