242056432464 has 240 divisors, whose sum is σ = 786212429184. Its totient is φ = 62816117760.

The previous prime is 242056432393. The next prime is 242056432477. The reversal of 242056432464 is 464234650242.

It is a super-2 number, since 2×242056432464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66552054 + ... + 66555690.

Almost surely, 2^242056432464 is an apocalyptic number.

242056432464 is a gapful number since it is divisible by the number (24) 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 242056432464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393106214592).

242056432464 is an abundant number, since it is smaller than the sum of its proper divisors (544155996720).

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

242056432464 is a wasteful number, since it uses less digits than its factorization.

242056432464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5314 (or 5297 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 242056432464 in words is "two hundred forty-two billion, fifty-six million, four hundred thirty-two thousand, four hundred sixty-four".