400424023296 has 432 divisors, whose sum is σ = 1284947943552. Its totient is φ = 118908518400.

The previous prime is 400424023277. The next prime is 400424023319. The reversal of 400424023296 is 692320424004.

400424023296 is a `hidden beast` number, since 400 + 4 + 240 + 2 + 3 + 2 + 9 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400424023296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347288256 + ... + 347289408.

It is an arithmetic number, because the mean of its divisors is an integer number (2974416536).

Almost surely, 2^400424023296 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 400424023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642473971776).

400424023296 is an abundant number, since it is smaller than the sum of its proper divisors (884523920256).

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

400424023296 is a wasteful number, since it uses less digits than its factorization.

400424023296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 400424023296 in words is "four hundred billion, four hundred twenty-four million, twenty-three thousand, two hundred ninety-six".