13992276234240 has 1040 divisors, whose sum is σ = 51005077588608. Its totient is φ = 3684083171328.

The previous prime is 13992276234203. The next prime is 13992276234247. The reversal of 13992276234240 is 4243267229931.

13992276234240 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 2 + 2 + 7 + 623 + 4 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13992276234247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41520107352 + ... + 41520107688.

Almost surely, 2^{13992276234240} is an apocalyptic number.

13992276234240 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 13992276234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25502538794304).

13992276234240 is an abundant number, since it is smaller than the sum of its proper divisors (37012801354368).

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

13992276234240 is an frugal number, since it uses more digits than its factorization.

13992276234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 13992276234240 in words is "thirteen trillion, nine hundred ninety-two billion, two hundred seventy-six million, two hundred thirty-four thousand, two hundred forty".