140437630080 has 384 divisors, whose sum is σ = 535750675200. Its totient is φ = 33613332480.

The previous prime is 140437630033. The next prime is 140437630093. The reversal of 140437630080 is 80036734041.

140437630080 is a `hidden beast` number, since 14 + 0 + 4 + 3 + 7 + 630 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4991412 + ... + 5019468.

It is an arithmetic number, because the mean of its divisors is an integer number (1395184050).

Almost surely, 2^140437630080 is an apocalyptic number.

140437630080 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 140437630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267875337600).

140437630080 is an abundant number, since it is smaller than the sum of its proper divisors (395313045120).

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

140437630080 is a wasteful number, since it uses less digits than its factorization.

140437630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28172 (or 28157 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 140437630080 in words is "one hundred forty billion, four hundred thirty-seven million, six hundred thirty thousand, eighty".