140017398768 has 320 divisors, whose sum is σ = 444096576000. Its totient is φ = 41965185024.

The previous prime is 140017398767. The next prime is 140017398817. The reversal of 140017398768 is 867893710041.

140017398768 is a `hidden beast` number, since 1 + 400 + 173 + 9 + 8 + 7 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140017398767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137406163 + ... + 137407181.

It is an arithmetic number, because the mean of its divisors is an integer number (1387801800).

Almost surely, 2^140017398768 is an apocalyptic number.

140017398768 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 140017398768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222048288000).

140017398768 is an abundant number, since it is smaller than the sum of its proper divisors (304079177232).

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

140017398768 is a wasteful number, since it uses less digits than its factorization.

140017398768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

It can be divided in two parts, 1400173 and 98768, that added together give a palindrome (1498941).

The spelling of 140017398768 in words is "one hundred forty billion, seventeen million, three hundred ninety-eight thousand, seven hundred sixty-eight".