242430452442400 has 72 divisors (see below), whose sum is σ = 592020223280640. Its totient is φ = 96941560392960.

The previous prime is 242430452442379. The next prime is 242430452442407. The reversal of 242430452442400 is 4244254034242.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (242430452442407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45309480 + ... + 50376679.

It is an arithmetic number, because the mean of its divisors is an integer number (8222503101120).

Almost surely, 2^{242430452442400} is an apocalyptic number.

242430452442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242430452442400 is an abundant number, since it is smaller than the sum of its proper divisors (349589770838240).

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

242430452442400 is a wasteful number, since it uses less digits than its factorization.

242430452442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95689346 (or 95689333 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 40.

The spelling of 242430452442400 in words is "two hundred forty-two trillion, four hundred thirty billion, four hundred fifty-two million, four hundred forty-two thousand, four hundred".