400537905600 has 1344 divisors, whose sum is σ = 1679034122240. Its totient is φ = 81517363200.

The previous prime is 400537905577. The next prime is 400537905601. The reversal of 400537905600 is 6509735004.

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

It is a super-2 number, since 2×400537905600² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400537905601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 732244527 + ... + 732245073.

Almost surely, 2^400537905600 is an apocalyptic number.

400537905600 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 400537905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839517061120).

400537905600 is an abundant number, since it is smaller than the sum of its proper divisors (1278496216640).

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

400537905600 is a wasteful number, since it uses less digits than its factorization.

400537905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 400537905600 in words is "four hundred billion, five hundred thirty-seven million, nine hundred five thousand, six hundred".