201291309024 has 96 divisors (see below), whose sum is σ = 569829012480. Its totient is φ = 61849370112.

The previous prime is 201291309017. The next prime is 201291309049. The reversal of 201291309024 is 420903192102.

It is a Cunningham number, because it is equal to 448655²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785149 + ... + 1009475.

It is an arithmetic number, because the mean of its divisors is an integer number (5935718880).

Almost surely, 2^201291309024 is an apocalyptic number.

201291309024 is a gapful number since it is divisible by the number (24) 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 201291309024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284914506240).

201291309024 is an abundant number, since it is smaller than the sum of its proper divisors (368537703456).

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

201291309024 is a wasteful number, since it uses less digits than its factorization.

201291309024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225072 (or 225064 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 201291309024 in words is "two hundred one billion, two hundred ninety-one million, three hundred nine thousand, twenty-four".