4041998400 has 336 divisors, whose sum is σ = 14864852160. Its totient is φ = 952934400.

The previous prime is 4041998399. The next prime is 4041998419. The reversal of 4041998400 is 48991404.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1952566 + ... + 1954634.

Almost surely, 2^4041998400 is an apocalyptic number.

4041998400 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 4041998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432426080).

4041998400 is an abundant number, since it is smaller than the sum of its proper divisors (10822853760).

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

4041998400 is a wasteful number, since it uses less digits than its factorization.

4041998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4041998400 is about 63576.7127177868. The cubic root of 4041998400 is about 1592.9374124475.

The spelling of 4041998400 in words is "four billion, forty-one million, nine hundred ninety-eight thousand, four hundred".