201010724241400 has 96 divisors (see below), whose sum is σ = 471119497136640. Its totient is φ = 79756003676160.

The previous prime is 201010724241377. The next prime is 201010724241413. The reversal of 201010724241400 is 4142427010102.

It is a super-2 number, since 2×201010724241400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133183792 + ... + 134684608.

It is an arithmetic number, because the mean of its divisors is an integer number (4907494761840).

Almost surely, 2^{201010724241400} is an apocalyptic number.

201010724241400 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 201010724241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235559748568320).

201010724241400 is an abundant number, since it is smaller than the sum of its proper divisors (270108772895240).

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

201010724241400 is a wasteful number, since it uses less digits than its factorization.

201010724241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506233 (or 1506224 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The spelling of 201010724241400 in words is "two hundred one trillion, ten billion, seven hundred twenty-four million, two hundred forty-one thousand, four hundred".