111040064400 has 240 divisors, whose sum is σ = 358467145920. Its totient is φ = 29381222400.

The previous prime is 111040064371. The next prime is 111040064411. The reversal of 111040064400 is 4460040111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×111040064400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114355915 + ... + 114356885.

It is an arithmetic number, because the mean of its divisors is an integer number (1493613108).

Almost surely, 2^111040064400 is an apocalyptic number.

111040064400 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 111040064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179233572960).

111040064400 is an abundant number, since it is smaller than the sum of its proper divisors (247427081520).

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

111040064400 is a wasteful number, since it uses less digits than its factorization.

111040064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 111040064400 in words is "one hundred eleven billion, forty million, sixty-four thousand, four hundred".