401189395492256 has 192 divisors, whose sum is σ = 938908785475584. Its totient is φ = 165123764352000.

The previous prime is 401189395492211. The next prime is 401189395492331. The reversal of 401189395492256 is 652294593981104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045206485 + ... + 1045590251.

It is an arithmetic number, because the mean of its divisors is an integer number (4890149924352).

Almost surely, 2^{401189395492256} 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 401189395492256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469454392737792).

401189395492256 is an abundant number, since it is smaller than the sum of its proper divisors (537719389983328).

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

401189395492256 is a wasteful number, since it uses less digits than its factorization.

401189395492256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384963 (or 384955 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 68.

The spelling of 401189395492256 in words is "four hundred one trillion, one hundred eighty-nine billion, three hundred ninety-five million, four hundred ninety-two thousand, two hundred fifty-six".