202130198039040 has 640 divisors, whose sum is σ = 661281446707200. Its totient is φ = 52659354009600.

The previous prime is 202130198039039. The next prime is 202130198039089. The reversal of 202130198039040 is 40930891031202.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×202130198039040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202130198038983 and 202130198039001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24094667166 + ... + 24094675554.

It is an arithmetic number, because the mean of its divisors is an integer number (1033252260480).

Almost surely, 2^{202130198039040} is an apocalyptic number.

202130198039040 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 202130198039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330640723353600).

202130198039040 is an abundant number, since it is smaller than the sum of its proper divisors (459151248668160).

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

202130198039040 is a wasteful number, since it uses less digits than its factorization.

202130198039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 202130198039040 in words is "two hundred two trillion, one hundred thirty billion, one hundred ninety-eight million, thirty-nine thousand, forty".