401760628320 has 96 divisors (see below), whose sum is σ = 1299749982048. Its totient is φ = 104240590848.

The previous prime is 401760628319. The next prime is 401760628327. The reversal of 401760628320 is 23826067104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401760628320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401760628327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11293069 + ... + 11328588.

It is an arithmetic number, because the mean of its divisors is an integer number (13539062313).

Almost surely, 2^401760628320 is an apocalyptic number.

401760628320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401760628320 is an abundant number, since it is smaller than the sum of its proper divisors (897989353728).

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

401760628320 is a wasteful number, since it uses less digits than its factorization.

401760628320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22621712 (or 22621704 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 401760628320 in words is "four hundred one billion, seven hundred sixty million, six hundred twenty-eight thousand, three hundred twenty".