4249631232 has 720 divisors, whose sum is σ = 16373728800. Its totient is φ = 1047674880.

The previous prime is 4249631171. The next prime is 4249631251. The reversal of 4249631232 is 2321369424.

4249631232 is a `hidden beast` number, since 42 + 496 + 3 + 123 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72027619 + ... + 72027677.

It is an arithmetic number, because the mean of its divisors is an integer number (22741290).

Almost surely, 2^4249631232 is an apocalyptic number.

4249631232 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 4249631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8186864400).

4249631232 is an abundant number, since it is smaller than the sum of its proper divisors (12124097568).

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

4249631232 is a wasteful number, since it uses less digits than its factorization.

4249631232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4249631232 is about 65189.1956692211. The cubic root of 4249631232 is about 1619.7590496693.

The spelling of 4249631232 in words is "four billion, two hundred forty-nine million, six hundred thirty-one thousand, two hundred thirty-two".