401625570945456 has 640 divisors, whose sum is σ = 1424885431495680. Its totient is φ = 106640487014400.

The previous prime is 401625570945449. The next prime is 401625570945463. The reversal of 401625570945456 is 654549075526104.

401625570945456 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 2 + 5 + 570 + 9 + 4 + 5 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (401625570945449) and next prime (401625570945463).

It is a super-2 number, since 2×401625570945456² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401625570945393 and 401625570945402.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91571371 + ... + 95857013.

It is an arithmetic number, because the mean of its divisors is an integer number (2226383486712).

Almost surely, 2^{401625570945456} 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 401625570945456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712442715747840).

401625570945456 is an abundant number, since it is smaller than the sum of its proper divisors (1023259860550224).

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

401625570945456 is a wasteful number, since it uses less digits than its factorization.

401625570945456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285762 (or 4285750 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 401625570945456 in words is "four hundred one trillion, six hundred twenty-five billion, five hundred seventy million, nine hundred forty-five thousand, four hundred fifty-six".