107177040350400 has 168 divisors, whose sum is σ = 351909319487040. Its totient is φ = 28557841495040.

The previous prime is 107177040350381. The next prime is 107177040350459. The reversal of 107177040350400 is 4053040771701.

It is a super-2 number, since 2×107177040350400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2824374 + ... + 14910773.

It is an arithmetic number, because the mean of its divisors is an integer number (2094698330280).

Almost surely, 2^{107177040350400} is an apocalyptic number.

107177040350400 is a gapful number since it is divisible by the number (10) 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 107177040350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175954659743520).

107177040350400 is an abundant number, since it is smaller than the sum of its proper divisors (244732279136640).

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

107177040350400 is a wasteful number, since it uses less digits than its factorization.

107177040350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17736431 (or 17736416 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 107177040350400 in words is "one hundred seven trillion, one hundred seventy-seven billion, forty million, three hundred fifty thousand, four hundred".