107414630400 has 1248 divisors, whose sum is σ = 468027187200. Its totient is φ = 21056716800.

The previous prime is 107414630371. The next prime is 107414630461. The reversal of 107414630400 is 4036414701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449433481 + ... + 449433719.

Almost surely, 2^107414630400 is an apocalyptic number.

107414630400 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 107414630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234013593600).

107414630400 is an abundant number, since it is smaller than the sum of its proper divisors (360612556800).

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

107414630400 is a wasteful number, since it uses less digits than its factorization.

107414630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 107414630400 in words is "one hundred seven billion, four hundred fourteen million, six hundred thirty thousand, four hundred".