113796434141440 has 288 divisors, whose sum is σ = 289449179421696. Its totient is φ = 42789429411840.

The previous prime is 113796434141413. The next prime is 113796434141449. The reversal of 113796434141440 is 44141434697311.

It is not an unprimeable number, because it can be changed into a prime (113796434141449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 899918859 + ... + 900045301.

It is an arithmetic number, because the mean of its divisors is an integer number (1005031872992).

Almost surely, 2^{113796434141440} is an apocalyptic number.

113796434141440 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 113796434141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144724589710848).

113796434141440 is an abundant number, since it is smaller than the sum of its proper divisors (175652745280256).

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

113796434141440 is a wasteful number, since it uses less digits than its factorization.

113796434141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127145 (or 127131 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 113796434141440 in words is "one hundred thirteen trillion, seven hundred ninety-six billion, four hundred thirty-four million, one hundred forty-one thousand, four hundred forty".