4242011136 has 176 divisors, whose sum is σ = 12985512960. Its totient is φ = 1217617920.

The previous prime is 4242011131. The next prime is 4242011171. The reversal of 4242011136 is 6311102424.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638745 + ... + 645351.

Almost surely, 2^4242011136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492756480).

4242011136 is an abundant number, since it is smaller than the sum of its proper divisors (8743501824).

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

4242011136 is a wasteful number, since it uses less digits than its factorization.

4242011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4242011136 is about 65130.7234413990. The cubic root of 4242011136 is about 1618.7903299960.

The spelling of 4242011136 in words is "four billion, two hundred forty-two million, eleven thousand, one hundred thirty-six".