400432132100 has 864 divisors, whose sum is σ = 1297752938496. Its totient is φ = 103585996800.

The previous prime is 400432132073. The next prime is 400432132141. The reversal of 400432132100 is 1231234004.

It is a super-3 number, since 3×400432132100³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 508807907 + ... + 508808693.

It is an arithmetic number, because the mean of its divisors is an integer number (1502028864).

Almost surely, 2^400432132100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400432132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648876469248).

400432132100 is an abundant number, since it is smaller than the sum of its proper divisors (897320806396).

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

400432132100 is a wasteful number, since it uses less digits than its factorization.

400432132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 400432132100 its reverse (1231234004), we get a palindrome (401663366104).

The spelling of 400432132100 in words is "four hundred billion, four hundred thirty-two million, one hundred thirty-two thousand, one hundred".