113240234210040 has 2304 divisors, whose sum is σ = 464648970240000. Its totient is φ = 24712575648768.

The previous prime is 113240234210029. The next prime is 113240234210057. The reversal of 113240234210040 is 40012432042311.

113240234210040 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 402 + 3 + 4 + 210 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113240234209986 and 113240234210013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 236409674521 + ... + 236409674999.

It is an arithmetic number, because the mean of its divisors is an integer number (201670560000).

Almost surely, 2^{113240234210040} is an apocalyptic number.

113240234210040 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 113240234210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232324485120000).

113240234210040 is an abundant number, since it is smaller than the sum of its proper divisors (351408736029960).

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

113240234210040 is a wasteful number, since it uses less digits than its factorization.

113240234210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 113240234210040 its reverse (40012432042311), we get a palindrome (153252666252351).

The spelling of 113240234210040 in words is "one hundred thirteen trillion, two hundred forty billion, two hundred thirty-four million, two hundred ten thousand, forty".