109570406400 has 1728 divisors, whose sum is σ = 505505145600. Its totient is φ = 22773104640.

The previous prime is 109570406377. The next prime is 109570406401. The reversal of 109570406400 is 4604075901.

109570406400 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 7 + 0 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×109570406400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109570406401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1635379167 + ... + 1635379233.

It is an arithmetic number, because the mean of its divisors is an integer number (292537700).

Almost surely, 2^109570406400 is an apocalyptic number.

109570406400 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 109570406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252752572800).

109570406400 is an abundant number, since it is smaller than the sum of its proper divisors (395934739200).

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

109570406400 is a wasteful number, since it uses less digits than its factorization.

109570406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 109570406400 in words is "one hundred nine billion, five hundred seventy million, four hundred six thousand, four hundred".