140788240320000 has 3200 divisors, whose sum is σ = 616966131640320. Its totient is φ = 27704033280000.

The previous prime is 140788240319953. The next prime is 140788240320017. The reversal of 140788240320000 is 23042887041.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a super-2 number, since 2×140788240320000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 82380479146 + ... + 82380480854.

Almost surely, 2^{140788240320000} is an apocalyptic number.

140788240320000 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 140788240320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308483065820160).

140788240320000 is an abundant number, since it is smaller than the sum of its proper divisors (476177891320320).

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

140788240320000 is a wasteful number, since it uses less digits than its factorization.

140788240320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 140788240320000 in words is "one hundred forty trillion, seven hundred eighty-eight billion, two hundred forty million, three hundred twenty thousand".