201942408480 has 192 divisors, whose sum is σ = 643387691520. Its totient is φ = 53238398976.

The previous prime is 201942408449. The next prime is 201942408529. The reversal of 201942408480 is 84804249102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22179609 + ... + 22188711.

It is an arithmetic number, because the mean of its divisors is an integer number (3350977560).

Almost surely, 2^201942408480 is an apocalyptic number.

201942408480 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 201942408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321693845760).

201942408480 is an abundant number, since it is smaller than the sum of its proper divisors (441445283040).

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

201942408480 is a wasteful number, since it uses less digits than its factorization.

201942408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9643 (or 9635 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 201942408480 in words is "two hundred one billion, nine hundred forty-two million, four hundred eight thousand, four hundred eighty".