140468688000 has 1024 divisors, whose sum is σ = 566416281600. Its totient is φ = 34062336000.

The previous prime is 140468687993. The next prime is 140468688023. The reversal of 140468688000 is 886864041.

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 127 ways as a sum of consecutive naturals, for example, 227663692 + ... + 227664308.

It is an arithmetic number, because the mean of its divisors is an integer number (553140900).

Almost surely, 2^140468688000 is an apocalyptic number.

140468688000 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 140468688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283208140800).

140468688000 is an abundant number, since it is smaller than the sum of its proper divisors (425947593600).

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

140468688000 is a wasteful number, since it uses less digits than its factorization.

140468688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 675 counting only the distinct ones).

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

The spelling of 140468688000 in words is "one hundred forty billion, four hundred sixty-eight million, six hundred eighty-eight thousand".