242201032400 has 60 divisors (see below), whose sum is σ = 592867050732. Its totient is φ = 95052472320.

The previous prime is 242201032393. The next prime is 242201032427. The reversal of 242201032400 is 4230102242.

It can be written as a sum of positive squares in 6 ways, for example, as 935381056 + 241265651344 = 30584^2 + 491188^2 .

It is a super-2 number, since 2×242201032400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5691089 + ... + 5733488.

Almost surely, 2^242201032400 is an apocalyptic number.

242201032400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242201032400 is an abundant number, since it is smaller than the sum of its proper divisors (350666018332).

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

242201032400 is a wasteful number, since it uses less digits than its factorization.

242201032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424648 (or 11424637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 242201032400 its reverse (4230102242), we get a palindrome (246431134642).

The spelling of 242201032400 in words is "two hundred forty-two billion, two hundred one million, thirty-two thousand, four hundred".