400524427296 has 1008 divisors, whose sum is σ = 1446898360320. Its totient is φ = 108637562880.

The previous prime is 400524427283. The next prime is 400524427333. The reversal of 400524427296 is 692724425004.

400524427296 is a `hidden beast` number, since 4 + 0 + 0 + 52 + 442 + 72 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3153735585 + ... + 3153735711.

It is an arithmetic number, because the mean of its divisors is an integer number (1435415040).

Almost surely, 2^400524427296 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 400524427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723449180160).

400524427296 is an abundant number, since it is smaller than the sum of its proper divisors (1046373933024).

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

400524427296 is a wasteful number, since it uses less digits than its factorization.

400524427296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 400524427296 in words is "four hundred billion, five hundred twenty-four million, four hundred twenty-seven thousand, two hundred ninety-six".