107314039468800 has 1296 divisors, whose sum is σ = 408410591264480. Its totient is φ = 27912978432000.

The previous prime is 107314039468771. The next prime is 107314039468837. The reversal of 107314039468800 is 8864930413701.

107314039468800 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 140 + 39 + 468 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×107314039468800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23528618520 + ... + 23528623080.

Almost surely, 2^{107314039468800} is an apocalyptic number.

107314039468800 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 107314039468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204205295632240).

107314039468800 is an abundant number, since it is smaller than the sum of its proper divisors (301096551795680).

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

107314039468800 is an frugal number, since it uses more digits than its factorization.

107314039468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 107314039468800 in words is "one hundred seven trillion, three hundred fourteen billion, thirty-nine million, four hundred sixty-eight thousand, eight hundred".