4242408072 has 128 divisors (see below), whose sum is σ = 12997324800. Its totient is φ = 1126315008.

The previous prime is 4242408061. The next prime is 4242408083. The reversal of 4242408072 is 2708042424.

It is an interprime number because it is at equal distance from previous prime (4242408061) and next prime (4242408083).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216223 + ... + 235025.

It is an arithmetic number, because the mean of its divisors is an integer number (101541600).

Almost surely, 2^4242408072 is an apocalyptic number.

4242408072 is a gapful number since it is divisible by the number (42) 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 4242408072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498662400).

4242408072 is an abundant number, since it is smaller than the sum of its proper divisors (8754916728).

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

4242408072 is a wasteful number, since it uses less digits than its factorization.

4242408072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18915 (or 18911 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 4242408072 is about 65133.7705955981. The cubic root of 4242408072 is about 1618.8408198932.

The spelling of 4242408072 in words is "four billion, two hundred forty-two million, four hundred eight thousand, seventy-two".