400779130117632 has 480 divisors, whose sum is σ = 1315620393218208. Its totient is φ = 107728177987584.

The previous prime is 400779130117603. The next prime is 400779130117697. The reversal of 400779130117632 is 236711031977004.

It is a super-2 number, since 2×400779130117632² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3169228548 + ... + 3169355004.

Almost surely, 2^{400779130117632} is an apocalyptic number.

400779130117632 is a gapful number since it is divisible by the number (42) 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 400779130117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657810196609104).

400779130117632 is an abundant number, since it is smaller than the sum of its proper divisors (914841263100576).

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

400779130117632 is a wasteful number, since it uses less digits than its factorization.

400779130117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128986 (or 128963 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The spelling of 400779130117632 in words is "four hundred trillion, seven hundred seventy-nine billion, one hundred thirty million, one hundred seventeen thousand, six hundred thirty-two".