4009988400 has 180 divisors, whose sum is σ = 14119757736. Its totient is φ = 972083200.

The previous prime is 4009988393. The next prime is 4009988417. The reversal of 4009988400 is 48899004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131392 + ... + 159008.

Almost surely, 2^4009988400 is an apocalyptic number.

4009988400 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 4009988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059878868).

4009988400 is an abundant number, since it is smaller than the sum of its proper divisors (10109769336).

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

4009988400 is a wasteful number, since it uses less digits than its factorization.

4009988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27660 (or 27638 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4009988400 is about 63324.4692042499. The cubic root of 4009988400 is about 1588.7212534078.

The spelling of 4009988400 in words is "four billion, nine million, nine hundred eighty-eight thousand, four hundred".