401135222531104 has 48 divisors (see below), whose sum is σ = 834460804457280. Its totient is φ = 189288944236800.

The previous prime is 401135222531081. The next prime is 401135222531167.

401135222531104 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 401135222531104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1254140247 + ... + 1254460054.

It is an arithmetic number, because the mean of its divisors is an integer number (17384600092860).

Almost surely, 2^{401135222531104} is an apocalyptic number.

It is an amenable number.

401135222531104 is an abundant number, since it is smaller than the sum of its proper divisors (433325581926176).

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

401135222531104 is a wasteful number, since it uses less digits than its factorization.

401135222531104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508600593 (or 2508600585 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 401135222531104 in words is "four hundred one trillion, one hundred thirty-five billion, two hundred twenty-two million, five hundred thirty-one thousand, one hundred four".