4047998400 has 252 divisors, whose sum is σ = 14525167800. Its totient is φ = 1069148160.

The previous prime is 4047998399. The next prime is 4047998407. The reversal of 4047998400 is 48997404.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4047998407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1568311 + ... + 1570889.

Almost surely, 2^4047998400 is an apocalyptic number.

4047998400 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 4047998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262583900).

4047998400 is an abundant number, since it is smaller than the sum of its proper divisors (10477169400).

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

4047998400 is a wasteful number, since it uses less digits than its factorization.

4047998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4047998400 is about 63623.8823084540. The cubic root of 4047998400 is about 1593.7252157622.

The spelling of 4047998400 in words is "four billion, forty-seven million, nine hundred ninety-eight thousand, four hundred".