401598946944 has 256 divisors, whose sum is σ = 1283606352000. Its totient is φ = 122876116992.

The previous prime is 401598946937. The next prime is 401598946949. The reversal of 401598946944 is 449649895104.

401598946944 is a `hidden beast` number, since 4 + 0 + 1 + 59 + 89 + 469 + 44 = 666.

It is a super-2 number, since 2×401598946944² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401598946949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8017144 + ... + 8067080.

Almost surely, 2^401598946944 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 401598946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641803176000).

401598946944 is an abundant number, since it is smaller than the sum of its proper divisors (882007405056).

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

401598946944 is a wasteful number, since it uses less digits than its factorization.

401598946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50152 (or 50134 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 401598946944 in words is "four hundred one billion, five hundred ninety-eight million, nine hundred forty-six thousand, nine hundred forty-four".