140013164880 has 240 divisors, whose sum is σ = 477660405456. Its totient is φ = 36747509760.

The previous prime is 140013164827. The next prime is 140013164947. The reversal of 140013164880 is 88461310041.

It is a happy number.

140013164880 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 3 + 1 + 648 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31057717824 + 108955447056 = 176232^2 + 330084^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27381204 + ... + 27386316.

Almost surely, 2^140013164880 is an apocalyptic number.

140013164880 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 140013164880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238830202728).

140013164880 is an abundant number, since it is smaller than the sum of its proper divisors (337647240576).

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

140013164880 is a wasteful number, since it uses less digits than its factorization.

140013164880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 140013164880 in words is "one hundred forty billion, thirteen million, one hundred sixty-four thousand, eight hundred eighty".