113078701440 has 1152 divisors, whose sum is σ = 451405936800. Its totient is φ = 25965232128.

The previous prime is 113078701369. The next prime is 113078701453. The reversal of 113078701440 is 44107870311.

113078701440 is a `hidden beast` number, since 1 + 130 + 7 + 87 + 0 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 113078701395 and 113078701404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1916588131 + ... + 1916588189.

Almost surely, 2^113078701440 is an apocalyptic number.

113078701440 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 113078701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225702968400).

113078701440 is an abundant number, since it is smaller than the sum of its proper divisors (338327235360).

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

113078701440 is a wasteful number, since it uses less digits than its factorization.

113078701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 113078701440 in words is "one hundred thirteen billion, seventy-eight million, seven hundred one thousand, four hundred forty".