107040326400 has 648 divisors, whose sum is σ = 445704910560. Its totient is φ = 23999938560.

The previous prime is 107040326381. The next prime is 107040326411. The reversal of 107040326400 is 4623040701.

107040326400 is a `hidden beast` number, since 10 + 7 + 0 + 4 + 0 + 3 + 2 + 640 + 0 = 666.

It is a super-2 number, since 2×107040326400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21367096 + ... + 21372104.

It is an arithmetic number, because the mean of its divisors is an integer number (687816220).

Almost surely, 2^107040326400 is an apocalyptic number.

107040326400 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 107040326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222852455280).

107040326400 is an abundant number, since it is smaller than the sum of its proper divisors (338664584160).

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

107040326400 is a wasteful number, since it uses less digits than its factorization.

107040326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 107040326400 in words is "one hundred seven billion, forty million, three hundred twenty-six thousand, four hundred".