140038778880 has 2496 divisors, whose sum is σ = 702795663360. Its totient is φ = 25692733440.

The previous prime is 140038778767. The next prime is 140038778899. The reversal of 140038778880 is 88877830041.

140038778880 is a `hidden beast` number, since 1 + 400 + 3 + 87 + 7 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×140038778880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6088642549 + ... + 6088642571.

Almost surely, 2^140038778880 is an apocalyptic number.

140038778880 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 140038778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351397831680).

140038778880 is an abundant number, since it is smaller than the sum of its proper divisors (562756884480).

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

140038778880 is a wasteful number, since it uses less digits than its factorization.

140038778880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 140038778880 in words is "one hundred forty billion, thirty-eight million, seven hundred seventy-eight thousand, eight hundred eighty".