202140254320000 has 160 divisors (see below), whose sum is σ = 504100028698200. Its totient is φ = 80713981440000.

The previous prime is 202140254319959. The next prime is 202140254320001. The reversal of 202140254320000 is 23452041202.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202140254320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43299655 + ... + 47740345.

Almost surely, 2^{202140254320000} is an apocalyptic number.

202140254320000 is a gapful number since it is divisible by the number (20) 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 202140254320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252050014349100).

202140254320000 is an abundant number, since it is smaller than the sum of its proper divisors (301959774378200).

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

202140254320000 is an frugal number, since it uses more digits than its factorization.

202140254320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441294 (or 4441267 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 202140254320000 in words is "two hundred two trillion, one hundred forty billion, two hundred fifty-four million, three hundred twenty thousand".