13897311834240 has 768 divisors, whose sum is σ = 52850683267200. Its totient is φ = 3479746314240.

The previous prime is 13897311834181. The next prime is 13897311834247. The reversal of 13897311834240 is 4243811379831.

13897311834240 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 7 + 31 + 183 + 424 + 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 (13897311834247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333880630 + ... + 333922250.

Almost surely, 2^{13897311834240} is an apocalyptic number.

13897311834240 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 13897311834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26425341633600).

13897311834240 is an abundant number, since it is smaller than the sum of its proper divisors (38953371432960).

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

13897311834240 is a wasteful number, since it uses less digits than its factorization.

13897311834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41787 (or 41763 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13897311834240 in words is "thirteen trillion, eight hundred ninety-seven billion, three hundred eleven million, eight hundred thirty-four thousand, two hundred forty".