140390038978560 has 1680 divisors, whose sum is σ = 591476255096832. Its totient is φ = 31302667468800.

The previous prime is 140390038978517. The next prime is 140390038978573. The reversal of 140390038978560 is 65879830093041.

140390038978560 is a `hidden beast` number, since 1 + 4 + 0 + 39 + 0 + 0 + 38 + 9 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×140390038978560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17139544065 + ... + 17139552255.

Almost surely, 2^{140390038978560} is an apocalyptic number.

140390038978560 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 140390038978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295738127548416).

140390038978560 is an abundant number, since it is smaller than the sum of its proper divisors (451086216118272).

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

140390038978560 is an frugal number, since it uses more digits than its factorization.

140390038978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8290 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 140390038978560 in words is "one hundred forty trillion, three hundred ninety billion, thirty-eight million, nine hundred seventy-eight thousand, five hundred sixty".