4002469632 has 144 divisors (see below), whose sum is σ = 13527028480. Its totient is φ = 1143548928.

The previous prime is 4002469589. The next prime is 4002469633. The reversal of 4002469632 is 2369642004.

4002469632 is a `hidden beast` number, since 400 + 246 + 9 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002469633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7023 + ... + 89745.

Almost surely, 2^4002469632 is an apocalyptic number.

4002469632 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 4002469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763514240).

4002469632 is an abundant number, since it is smaller than the sum of its proper divisors (9524558848).

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

4002469632 is an equidigital number, since it uses as much as digits as its factorization.

4002469632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82755 (or 82735 counting only the distinct ones).

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

The square root of 4002469632 is about 63265.0743459612. The cubic root of 4002469632 is about 1587.7276761269.

The spelling of 4002469632 in words is "four billion, two million, four hundred sixty-nine thousand, six hundred thirty-two".