114713045040 has 320 divisors, whose sum is σ = 395326697472. Its totient is φ = 27284352000.

The previous prime is 114713045011. The next prime is 114713045063. The reversal of 114713045040 is 40540317411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114713044989 and 114713045007.

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 63 ways as a sum of consecutive naturals, for example, 33085387 + ... + 33088853.

Almost surely, 2^114713045040 is an apocalyptic number.

114713045040 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 114713045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197663348736).

114713045040 is an abundant number, since it is smaller than the sum of its proper divisors (280613652432).

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

114713045040 is a wasteful number, since it uses less digits than its factorization.

114713045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 114713045040 in words is "one hundred fourteen billion, seven hundred thirteen million, forty-five thousand, forty".