140621724105408 has 2016 divisors, whose sum is σ = 556381513396800. Its totient is φ = 34837761982464.

The previous prime is 140621724105397. The next prime is 140621724105469. The reversal of 140621724105408 is 804501427126041.

140621724105408 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 21 + 72 + 4 + 10 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10629800938 + ... + 10629814166.

It is an arithmetic number, because the mean of its divisors is an integer number (275982893550).

Almost surely, 2^{140621724105408} is an apocalyptic number.

140621724105408 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 140621724105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278190756698400).

140621724105408 is an abundant number, since it is smaller than the sum of its proper divisors (415759789291392).

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

140621724105408 is a wasteful number, since it uses less digits than its factorization.

140621724105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13349 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 140621724105408 in words is "one hundred forty trillion, six hundred twenty-one billion, seven hundred twenty-four million, one hundred five thousand, four hundred eight".