140920012800 has 1080 divisors, whose sum is σ = 594969030656. Its totient is φ = 31213486080.

The previous prime is 140920012799. The next prime is 140920012811. The reversal of 140920012800 is 8210029041.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1109606337 + ... + 1109606463.

Almost surely, 2^140920012800 is an apocalyptic number.

140920012800 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 140920012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297484515328).

140920012800 is an abundant number, since it is smaller than the sum of its proper divisors (454049017856).

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

140920012800 is a wasteful number, since it uses less digits than its factorization.

140920012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 140920012800 in words is "one hundred forty billion, nine hundred twenty million, twelve thousand, eight hundred".