140019415680400 has 45 divisors (see below), whose sum is σ = 336397214747811. Its totient is φ = 56007671608320.

The previous prime is 140019415680371. The next prime is 140019415680491. The reversal of 140019415680400 is 4086514910041.

The square root of 140019415680400 is 11832980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26520563635344 + 113498852045056 = 5149812^2 + 10653584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 236363776 + ... + 236955424.

Almost surely, 2^{140019415680400} is an apocalyptic number.

140019415680400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140019415680400 is the 11832980-th square number.

It is an amenable number.

140019415680400 is an abundant number, since it is smaller than the sum of its proper divisors (196377799067411).

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

140019415680400 is an frugal number, since it uses more digits than its factorization.

140019415680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183316 (or 591656 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 140019415680400 in words is "one hundred forty trillion, nineteen billion, four hundred fifteen million, six hundred eighty thousand, four hundred".