140807394000 has 1920 divisors, whose sum is σ = 648918466560. Its totient is φ = 27661824000.

The previous prime is 140807393981. The next prime is 140807394001. The reversal of 140807394000 is 493708041.

It is a happy number.

140807394000 is a `hidden beast` number, since 140 + 80 + 7 + 39 + 400 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140807394001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2386565971 + ... + 2386566029.

It is an arithmetic number, because the mean of its divisors is an integer number (337978368).

Almost surely, 2^140807394000 is an apocalyptic number.

140807394000 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 140807394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324459233280).

140807394000 is an abundant number, since it is smaller than the sum of its proper divisors (508111072560).

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

140807394000 is a wasteful number, since it uses less digits than its factorization.

140807394000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 140807394000 in words is "one hundred forty billion, eight hundred seven million, three hundred ninety-four thousand".