13439287214640 has 1280 divisors, whose sum is σ = 55400454144000. Its totient is φ = 2930599526400.

The previous prime is 13439287214629. The next prime is 13439287214671. The reversal of 13439287214640 is 4641278293431.

13439287214640 is a `hidden beast` number, since 1 + 3 + 4 + 392 + 8 + 72 + 146 + 40 = 666.

It is a super-2 number, since 2×13439287214640² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14752235785 + ... + 14752236695.

It is an arithmetic number, because the mean of its divisors is an integer number (43281604800).

Almost surely, 2^{13439287214640} is an apocalyptic number.

13439287214640 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 13439287214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27700227072000).

13439287214640 is an abundant number, since it is smaller than the sum of its proper divisors (41961166929360).

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

13439287214640 is a wasteful number, since it uses less digits than its factorization.

13439287214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 13439287214640 in words is "thirteen trillion, four hundred thirty-nine billion, two hundred eighty-seven million, two hundred fourteen thousand, six hundred forty".