400983238656 has 1152 divisors, whose sum is σ = 1577486776320. Its totient is φ = 94755225600.

The previous prime is 400983238633. The next prime is 400983238703. The reversal of 400983238656 is 656832389004.

400983238656 is a `hidden beast` number, since 400 + 98 + 3 + 23 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 1900394391 + ... + 1900394601.

It is an arithmetic number, because the mean of its divisors is an integer number (1369346160).

Almost surely, 2^400983238656 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 400983238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788743388160).

400983238656 is an abundant number, since it is smaller than the sum of its proper divisors (1176503537664).

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

400983238656 is a wasteful number, since it uses less digits than its factorization.

400983238656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 400983238656 in words is "four hundred billion, nine hundred eighty-three million, two hundred thirty-eight thousand, six hundred fifty-six".