13997796433920 has 896 divisors, whose sum is σ = 54904638862080. Its totient is φ = 3361430568960.

The previous prime is 13997796433909. The next prime is 13997796433931. The reversal of 13997796433920 is 2933469779931.

13997796433920 is a `hidden beast` number, since 1 + 39 + 9 + 7 + 79 + 6 + 433 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13997796433909) and next prime (13997796433931).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 589443487 + ... + 589467233.

It is an arithmetic number, because the mean of its divisors is an integer number (61277498730).

Almost surely, 2^{13997796433920} is an apocalyptic number.

13997796433920 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 13997796433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27452319431040).

13997796433920 is an abundant number, since it is smaller than the sum of its proper divisors (40906842428160).

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

13997796433920 is a wasteful number, since it uses less digits than its factorization.

13997796433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23841 (or 23811 counting only the distinct ones).

The product of its (nonzero) digits is 416649744, while the sum is 72.

The spelling of 13997796433920 in words is "thirteen trillion, nine hundred ninety-seven billion, seven hundred ninety-six million, four hundred thirty-three thousand, nine hundred twenty".