242609050400 has 72 divisors (see below), whose sum is σ = 611374869504. Its totient is φ = 93913171200.

The previous prime is 242609050399. The next prime is 242609050457. The reversal of 242609050400 is 4050906242.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 4866512 + ... + 4916111.

It is an arithmetic number, because the mean of its divisors is an integer number (8491317632).

Almost surely, 2^242609050400 is an apocalyptic number.

242609050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242609050400 is an abundant number, since it is smaller than the sum of its proper divisors (368765819104).

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

242609050400 is a wasteful number, since it uses less digits than its factorization.

242609050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9782674 (or 9782661 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 242609050400 its reverse (4050906242), we get a palindrome (246659956642).

The spelling of 242609050400 in words is "two hundred forty-two billion, six hundred nine million, fifty thousand, four hundred".