140107968000 has 2560 divisors, whose sum is σ = 703514972160. Its totient is φ = 26873856000.

The previous prime is 140107967999. The next prime is 140107968031. The reversal of 140107968000 is 869701041.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10777535994 + ... + 10777536006.

It is an arithmetic number, because the mean of its divisors is an integer number (274810536).

Almost surely, 2^140107968000 is an apocalyptic number.

140107968000 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 140107968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351757486080).

140107968000 is an abundant number, since it is smaller than the sum of its proper divisors (563407004160).

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

140107968000 is an frugal number, since it uses more digits than its factorization.

140107968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 14010 and 7968000, that added together give a triangular number (7982010 = T₃₉₉₅).

The spelling of 140107968000 in words is "one hundred forty billion, one hundred seven million, nine hundred sixty-eight thousand".