401023511120 has 40 divisors (see below), whose sum is σ = 947664587400. Its totient is φ = 157779740160.

The previous prime is 401023511099. The next prime is 401023511123. The reversal of 401023511120 is 21115320104.

It can be written as a sum of positive squares in 4 ways, for example, as 29962225216 + 371061285904 = 173096^2 + 609148^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 401023511092 and 401023511101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401023511123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41083595 + ... + 41093354.

It is an arithmetic number, because the mean of its divisors is an integer number (23691614685).

Almost surely, 2^401023511120 is an apocalyptic number.

401023511120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401023511120 is an abundant number, since it is smaller than the sum of its proper divisors (546641076280).

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

401023511120 is a wasteful number, since it uses less digits than its factorization.

401023511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82177023 (or 82177017 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 401023511120 its reverse (21115320104), we get a palindrome (422138831224).

The spelling of 401023511120 in words is "four hundred one billion, twenty-three million, five hundred eleven thousand, one hundred twenty".