401640001640 has 32 divisors (see below), whose sum is σ = 904877575560. Its totient is φ = 160444876800.

The previous prime is 401640001627. The next prime is 401640001657. The reversal of 401640001640 is 46100046104.

It can be written as a sum of positive squares in 4 ways, for example, as 297895456804 + 103744544836 = 545798^2 + 322094^2 .

It is a super-2 number, since 2×401640001640² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6566801 + ... + 6627680.

Almost surely, 2^401640001640 is an apocalyptic number.

401640001640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401640001640 is an abundant number, since it is smaller than the sum of its proper divisors (503237573920).

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

401640001640 is a wasteful number, since it uses less digits than its factorization.

401640001640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13195253 (or 13195249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 401640001640 its reverse (46100046104), we get a palindrome (447740047744).

The spelling of 401640001640 in words is "four hundred one billion, six hundred forty million, one thousand, six hundred forty".