400432431341124 has 192 divisors, whose sum is σ = 1277830626508800. Its totient is φ = 105600493639296.

The previous prime is 400432431341119. The next prime is 400432431341147. The reversal of 400432431341124 is 421143134234004.

400432431341124 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 324 + 313 + 4 + 1 + 12 + 4 = 666.

It is a super-2 number, since 2×400432431341124² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127778509 + ... + 130874795.

It is an arithmetic number, because the mean of its divisors is an integer number (6655367846400).

Almost surely, 2^{400432431341124} 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 400432431341124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638915313254400).

400432431341124 is an abundant number, since it is smaller than the sum of its proper divisors (877398195167676).

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

400432431341124 is a wasteful number, since it uses less digits than its factorization.

400432431341124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109479 (or 3109471 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 400432431341124 its reverse (421143134234004), we get a palindrome (821575565575128).

The spelling of 400432431341124 in words is "four hundred trillion, four hundred thirty-two billion, four hundred thirty-one million, three hundred forty-one thousand, one hundred twenty-four".