109950422400 has 576 divisors, whose sum is σ = 482877114720. Its totient is φ = 23197777920.

The previous prime is 109950422399. The next prime is 109950422411. The reversal of 109950422400 is 4224059901.

109950422400 is a `hidden beast` number, since 1 + 0 + 99 + 504 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 2599824 + ... + 2641776.

Almost surely, 2^109950422400 is an apocalyptic number.

109950422400 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 109950422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241438557360).

109950422400 is an abundant number, since it is smaller than the sum of its proper divisors (372926692320).

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

109950422400 is a wasteful number, since it uses less digits than its factorization.

109950422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42003 (or 41983 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 109950422400 in words is "one hundred nine billion, nine hundred fifty million, four hundred twenty-two thousand, four hundred".