4090948800 has 168 divisors, whose sum is σ = 13885011600. Its totient is φ = 1053265920.

The previous prime is 4090948793. The next prime is 4090948801. The reversal of 4090948800 is 88490904.

It is not an unprimeable number, because it can be changed into a prime (4090948801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124506 + ... + 153894.

Almost surely, 2^4090948800 is an apocalyptic number.

4090948800 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 4090948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942505800).

4090948800 is an abundant number, since it is smaller than the sum of its proper divisors (9794062800).

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

4090948800 is a wasteful number, since it uses less digits than its factorization.

4090948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29443 (or 29428 counting only the distinct ones).

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

The square root of 4090948800 is about 63960.5253261729. The cubic root of 4090948800 is about 1599.3420211186.

It can be divided in two parts, 4090 and 948800, that added together give a triangular number (952890 = T₁₃₈₀).

The spelling of 4090948800 in words is "four billion, ninety million, nine hundred forty-eight thousand, eight hundred".