401513130120144 has 240 divisors, whose sum is σ = 1291918346755200. Its totient is φ = 106756771258368.

The previous prime is 401513130120143. The next prime is 401513130120149. The reversal of 401513130120144 is 441021031315104.

It is a happy number.

It is a super-2 number, since 2×401513130120144² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401513130120143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52856284 + ... + 59973435.

It is an arithmetic number, because the mean of its divisors is an integer number (5382993111480).

Almost surely, 2^{401513130120144} is an apocalyptic number.

It is an amenable number.

401513130120144 is an abundant number, since it is smaller than the sum of its proper divisors (890405216635056).

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

401513130120144 is a wasteful number, since it uses less digits than its factorization.

401513130120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112829850 (or 112829837 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 401513130120144 its reverse (441021031315104), we get a palindrome (842534161435248).

The spelling of 401513130120144 in words is "four hundred one trillion, five hundred thirteen billion, one hundred thirty million, one hundred twenty thousand, one hundred forty-four".