202153013442400 has 72 divisors (see below), whose sum is σ = 502817478965424. Its totient is φ = 79335522240000.

The previous prime is 202153013442389. The next prime is 202153013442439. The reversal of 202153013442400 is 4244310351202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2383837476 + ... + 2383922275.

It is an arithmetic number, because the mean of its divisors is an integer number (6983576096742).

Almost surely, 2^{202153013442400} is an apocalyptic number.

202153013442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202153013442400 is an abundant number, since it is smaller than the sum of its proper divisors (300664465523024).

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

202153013442400 is a wasteful number, since it uses less digits than its factorization.

202153013442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767759824 (or 4767759811 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 202153013442400 its reverse (4244310351202), we get a palindrome (206397323793602).

The spelling of 202153013442400 in words is "two hundred two trillion, one hundred fifty-three billion, thirteen million, four hundred forty-two thousand, four hundred".