401405310523251 has 64 divisors (see below), whose sum is σ = 637468181712000. Its totient is φ = 251846639493120.

The previous prime is 401405310523207. The next prime is 401405310523279. The reversal of 401405310523251 is 152325013504104.

401405310523251 is a `hidden beast` number, since 4 + 0 + 1 + 40 + 5 + 310 + 52 + 3 + 251 = 666.

It is not a de Polignac number, because 401405310523251 - 2⁶ = 401405310523187 is a prime.

It is a super-2 number, since 2×401405310523251² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401405310523351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 618668931 + ... + 619317411.

It is an arithmetic number, because the mean of its divisors is an integer number (9960440339250).

Almost surely, 2^{401405310523251} is an apocalyptic number.

401405310523251 is a deficient number, since it is larger than the sum of its proper divisors (236062871188749).

401405310523251 is an equidigital number, since it uses as much as digits as its factorization.

401405310523251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665168 (or 665150 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 401405310523251 in words is "four hundred one trillion, four hundred five billion, three hundred ten million, five hundred twenty-three thousand, two hundred fifty-one".