4040798400 has 504 divisors, whose sum is σ = 15706425280. Its totient is φ = 1018967040.

The previous prime is 4040798389. The next prime is 4040798449. The reversal of 4040798400 is 48970404.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7386927 + ... + 7387473.

Almost surely, 2^4040798400 is an apocalyptic number.

4040798400 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 4040798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853212640).

4040798400 is an abundant number, since it is smaller than the sum of its proper divisors (11665626880).

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

4040798400 is a wasteful number, since it uses less digits than its factorization.

4040798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4040798400 is about 63567.2745994352. The cubic root of 4040798400 is about 1592.7797582458.

The spelling of 4040798400 in words is "four billion, forty million, seven hundred ninety-eight thousand, four hundred".