4202409792 has 224 divisors, whose sum is σ = 13538679552. Its totient is φ = 1123024896.

The previous prime is 4202409781. The next prime is 4202409811. The reversal of 4202409792 is 2979042024.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4202409792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4409188 + ... + 4410140.

Almost surely, 2^4202409792 is an apocalyptic number.

4202409792 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 4202409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769339776).

4202409792 is an abundant number, since it is smaller than the sum of its proper divisors (9336269760).

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

4202409792 is a wasteful number, since it uses less digits than its factorization.

4202409792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 4202409792 is about 64825.9962669298. The cubic root of 4202409792 is about 1613.7371606343.

The spelling of 4202409792 in words is "four billion, two hundred two million, four hundred nine thousand, seven hundred ninety-two".