201955098421440 has 2688 divisors, whose sum is σ = 917641628467200. Its totient is φ = 39625202073600.

The previous prime is 201955098421379. The next prime is 201955098421441. The reversal of 201955098421440 is 44124890559102.

201955098421440 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 5 + 509 + 84 + 2 + 14 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (201955098421441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22317942036 + ... + 22317951084.

It is an arithmetic number, because the mean of its divisors is an integer number (341384534400).

Almost surely, 2^{201955098421440} is an apocalyptic number.

201955098421440 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 201955098421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458820814233600).

201955098421440 is an abundant number, since it is smaller than the sum of its proper divisors (715686530045760).

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

201955098421440 is a wasteful number, since it uses less digits than its factorization.

201955098421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9231 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 201955098421440 in words is "two hundred one trillion, nine hundred fifty-five billion, ninety-eight million, four hundred twenty-one thousand, four hundred forty".