11714927623440 has 160 divisors (see below), whose sum is σ = 37902341594880. Its totient is φ = 2987595798528.

The previous prime is 11714927623439. The next prime is 11714927623459. The reversal of 11714927623440 is 4432672941711.

It is a super-3 number, since 3×11714927623440³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29683726 + ... + 30075794.

It is an arithmetic number, because the mean of its divisors is an integer number (236889634968).

Almost surely, 2^{11714927623440} is an apocalyptic number.

11714927623440 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 11714927623440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18951170797440).

11714927623440 is an abundant number, since it is smaller than the sum of its proper divisors (26187413971440).

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

11714927623440 is a wasteful number, since it uses less digits than its factorization.

11714927623440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397521 (or 397515 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 11714927623440 in words is "eleven trillion, seven hundred fourteen billion, nine hundred twenty-seven million, six hundred twenty-three thousand, four hundred forty".