201358257400 has 96 divisors (see below), whose sum is σ = 470384179200. Its totient is φ = 80160969600.

The previous prime is 201358257377. The next prime is 201358257461. The reversal of 201358257400 is 4752853102.

It is a self number, because there is not a number n which added to its sum of digits gives 201358257400.

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, 84496609 + ... + 84498991.

It is an arithmetic number, because the mean of its divisors is an integer number (4899835200).

Almost surely, 2^201358257400 is an apocalyptic number.

201358257400 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 201358257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235192089600).

201358257400 is an abundant number, since it is smaller than the sum of its proper divisors (269025921800).

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

201358257400 is a wasteful number, since it uses less digits than its factorization.

201358257400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The spelling of 201358257400 in words is "two hundred one billion, three hundred fifty-eight million, two hundred fifty-seven thousand, four hundred".