401135525531104 has 96 divisors (see below), whose sum is σ = 974783338937856. Its totient is φ = 158233654033920.

The previous prime is 401135525531089. The next prime is 401135525531137.

401135525531104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401135525531104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197480292 + ... + 199501219.

It is an arithmetic number, because the mean of its divisors is an integer number (10153993113936).

Almost surely, 2^{401135525531104} is an apocalyptic number.

It is an amenable number.

401135525531104 is an abundant number, since it is smaller than the sum of its proper divisors (573647813406752).

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

401135525531104 is a wasteful number, since it uses less digits than its factorization.

401135525531104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396981888 (or 396981880 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 401135525531104 in words is "four hundred one trillion, one hundred thirty-five billion, five hundred twenty-five million, five hundred thirty-one thousand, one hundred four".