140938056000000 has 1680 divisors, whose sum is σ = 602653094691648. Its totient is φ = 32211302400000.

The previous prime is 140938055999977. The next prime is 140938056000073. The reversal of 140938056000000 is 650839041.

140938056000000 is a `hidden beast` number, since 1 + 4 + 0 + 93 + 8 + 0 + 560 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 167 ways as a sum of consecutive naturals, for example, 13607994822 + ... + 13608005178.

Almost surely, 2^{140938056000000} is an apocalyptic number.

140938056000000 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 140938056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326547345824).

140938056000000 is an abundant number, since it is smaller than the sum of its proper divisors (461715038691648).

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

140938056000000 is an frugal number, since it uses more digits than its factorization.

140938056000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 140938056000000 in words is "one hundred forty trillion, nine hundred thirty-eight billion, fifty-six million", and thus it is an aban number.