140557677418368 has 640 divisors, whose sum is σ = 510440270123520. Its totient is φ = 37519927087104.

The previous prime is 140557677418349. The next prime is 140557677418381. The reversal of 140557677418368 is 863814776755041.

It is a happy number.

140557677418368 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 576 + 7 + 7 + 4 + 18 + 36 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 140557677418296 and 140557677418305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70798546 + ... + 72756782.

It is an arithmetic number, because the mean of its divisors is an integer number (797562922068).

Almost surely, 2^{140557677418368} is an apocalyptic number.

140557677418368 is a gapful number since it is divisible by the number (18) 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 140557677418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255220135061760).

140557677418368 is an abundant number, since it is smaller than the sum of its proper divisors (369882592705152).

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

140557677418368 is a wasteful number, since it uses less digits than its factorization.

140557677418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958336 (or 1958315 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 140557677418368 in words is "one hundred forty trillion, five hundred fifty-seven billion, six hundred seventy-seven million, four hundred eighteen thousand, three hundred sixty-eight".