140460868800 has 840 divisors, whose sum is σ = 595981926144. Its totient is φ = 31783311360.

The previous prime is 140460868787. The next prime is 140460868817. The reversal of 140460868800 is 8868064041.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97069677 + ... + 97071123.

Almost surely, 2^140460868800 is an apocalyptic number.

140460868800 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 140460868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297990963072).

140460868800 is an abundant number, since it is smaller than the sum of its proper divisors (455521057344).

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

140460868800 is a wasteful number, since it uses less digits than its factorization.

140460868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 140460868800 in words is "one hundred forty billion, four hundred sixty million, eight hundred sixty-eight thousand, eight hundred".