4002432000 has 352 divisors, whose sum is σ = 15225749760. Its totient is φ = 914227200.

The previous prime is 4002431957. The next prime is 4002432017. The reversal of 4002432000 is 2342004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 2687256 + ... + 2688744.

Almost surely, 2^4002432000 is an apocalyptic number.

4002432000 is a gapful number since it is divisible by the number (40) 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 4002432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612874880).

4002432000 is an abundant number, since it is smaller than the sum of its proper divisors (11223317760).

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

4002432000 is a wasteful number, since it uses less digits than its factorization.

4002432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4002432000 is about 63264.7769299790. The cubic root of 4002432000 is about 1587.7227000695.

Adding to 4002432000 its reverse (2342004), we get a palindrome (4004774004).

The spelling of 4002432000 in words is "four billion, two million, four hundred thirty-two thousand".