113441377400 has 384 divisors, whose sum is σ = 316329753600. Its totient is φ = 37407744000.

The previous prime is 113441377397. The next prime is 113441377411. The reversal of 113441377400 is 4773144311.

It is a happy number.

It is a super-2 number, since 2×113441377400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 153506231 + ... + 153506969.

It is an arithmetic number, because the mean of its divisors is an integer number (823775400).

Almost surely, 2^113441377400 is an apocalyptic number.

113441377400 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 113441377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158164876800).

113441377400 is an abundant number, since it is smaller than the sum of its proper divisors (202888376200).

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

113441377400 is a wasteful number, since it uses less digits than its factorization.

113441377400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 113441377400 in words is "one hundred thirteen billion, four hundred forty-one million, three hundred seventy-seven thousand, four hundred".