107214494400 has 336 divisors, whose sum is σ = 420903095200. Its totient is φ = 26391121920.

The previous prime is 107214494381. The next prime is 107214494419. The reversal of 107214494400 is 4494412701.

107214494400 is a `hidden beast` number, since 1 + 0 + 72 + 144 + 9 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (107214494381) and next prime (107214494419).

It is a super-2 number, since 2×107214494400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 466146 + ... + 657054.

Almost surely, 2^107214494400 is an apocalyptic number.

107214494400 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 107214494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210451547600).

107214494400 is an abundant number, since it is smaller than the sum of its proper divisors (313688600800).

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

107214494400 is a wasteful number, since it uses less digits than its factorization.

107214494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190953 (or 190932 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 107214494400 in words is "one hundred seven billion, two hundred fourteen million, four hundred ninety-four thousand, four hundred".