201142241400 has 96 divisors (see below), whose sum is σ = 643655232000. Its totient is φ = 51907670400.

The previous prime is 201142241387. The next prime is 201142241413. The reversal of 201142241400 is 4142241102.

It is an interprime number because it is at equal distance from previous prime (201142241387) and next prime (201142241413).

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, 5388450 + ... + 5425649.

It is an arithmetic number, because the mean of its divisors is an integer number (6704742000).

Almost surely, 2^201142241400 is an apocalyptic number.

201142241400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201142241400 is an abundant number, since it is smaller than the sum of its proper divisors (442512990600).

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

201142241400 is a wasteful number, since it uses less digits than its factorization.

201142241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10814149 (or 10814140 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 201142241400 its reverse (4142241102), we get a palindrome (205284482502).

The spelling of 201142241400 in words is "two hundred one billion, one hundred forty-two million, two hundred forty-one thousand, four hundred".