4200004032 has 168 divisors, whose sum is σ = 13092744960. Its totient is φ = 1184601600.

The previous prime is 4200004007. The next prime is 4200004063. The reversal of 4200004032 is 2304000024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740407 + ... + 746057.

Almost surely, 2^4200004032 is an apocalyptic number.

4200004032 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 4200004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6546372480).

4200004032 is an abundant number, since it is smaller than the sum of its proper divisors (8892740928).

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

4200004032 is a wasteful number, since it uses less digits than its factorization.

4200004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5742 counting only the distinct ones).

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

The square root of 4200004032 is about 64807.4380916265. The cubic root of 4200004032 is about 1613.4291623215.

Adding to 4200004032 its reverse (2304000024), we get a palindrome (6504004056).

The spelling of 4200004032 in words is "four billion, two hundred million, four thousand, thirty-two".