202140244413432 has 256 divisors, whose sum is σ = 605262529872000. Its totient is φ = 62138450018304.

The previous prime is 202140244413431. The next prime is 202140244413461. The reversal of 202140244413432 is 234314442041202.

202140244413432 is a `hidden beast` number, since 2 + 0 + 2 + 140 + 2 + 44 + 41 + 3 + 432 = 666.

202140244413432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202140244413431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19715224018 + ... + 19715234270.

Almost surely, 2^{202140244413432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202140244413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302631264936000).

202140244413432 is an abundant number, since it is smaller than the sum of its proper divisors (403122285458568).

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

202140244413432 is a wasteful number, since it uses less digits than its factorization.

202140244413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16207 (or 16197 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 202140244413432 its reverse (234314442041202), we get a palindrome (436454686454634).

The spelling of 202140244413432 in words is "two hundred two trillion, one hundred forty billion, two hundred forty-four million, four hundred thirteen thousand, four hundred thirty-two".