401145303541104 has 30 divisors (see below), whose sum is σ = 1122649703660576. Its totient is φ = 133715101180320.

The previous prime is 401145303541067. The next prime is 401145303541117.

401145303541104 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 4 + 5 + 3 + 0 + 3 + 541 + 104 = 666.

401145303541104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1392865637152 + ... + 1392865637439.

Almost surely, 2^{401145303541104} is an apocalyptic number.

It is an amenable number.

401145303541104 is an abundant number, since it is smaller than the sum of its proper divisors (721504400119472).

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

401145303541104 is a wasteful number, since it uses less digits than its factorization.

401145303541104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785731274605 (or 2785731274596 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 40114530 and 3541104, that added together give a palindrome (43655634).

The spelling of 401145303541104 in words is "four hundred one trillion, one hundred forty-five billion, three hundred three million, five hundred forty-one thousand, one hundred four".