401950507008 has 144 divisors (see below), whose sum is σ = 1074576585600. Its totient is φ = 133644681216.

The previous prime is 401950507001. The next prime is 401950507031. The reversal of 401950507008 is 800705059104.

It is a super-2 number, since 2×401950507008² (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 (401950507001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191495143 + ... + 191497241.

It is an arithmetic number, because the mean of its divisors is an integer number (7462337400).

Almost surely, 2^401950507008 is an apocalyptic number.

401950507008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401950507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537288292800).

401950507008 is an abundant number, since it is smaller than the sum of its proper divisors (672626078592).

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

401950507008 is an frugal number, since it uses more digits than its factorization.

401950507008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The spelling of 401950507008 in words is "four hundred one billion, nine hundred fifty million, five hundred seven thousand, eight".