140387149171200 has 1920 divisors, whose sum is σ = 528730501939200. Its totient is φ = 32648749056000.

The previous prime is 140387149171133. The next prime is 140387149171211. The reversal of 140387149171200 is 2171941783041.

140387149171200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140387149171200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109763212161 + ... + 109763213439.

It is an arithmetic number, because the mean of its divisors is an integer number (275380469760).

Almost surely, 2^{140387149171200} is an apocalyptic number.

140387149171200 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 140387149171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264365250969600).

140387149171200 is an abundant number, since it is smaller than the sum of its proper divisors (388343352768000).

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

140387149171200 is a wasteful number, since it uses less digits than its factorization.

140387149171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 140387149171200 in words is "one hundred forty trillion, three hundred eighty-seven billion, one hundred forty-nine million, one hundred seventy-one thousand, two hundred".