4090894080 has 576 divisors, whose sum is σ = 16812472320. Its totient is φ = 823984128.

The previous prime is 4090894039. The next prime is 4090894081. The reversal of 4090894080 is 804980904.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090894081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8036866 + ... + 8037374.

It is an arithmetic number, because the mean of its divisors is an integer number (29188320).

Almost surely, 2^4090894080 is an apocalyptic number.

4090894080 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 4090894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406236160).

4090894080 is an abundant number, since it is smaller than the sum of its proper divisors (12721578240).

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

4090894080 is a wasteful number, since it uses less digits than its factorization.

4090894080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

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

The square root of 4090894080 is about 63960.0975609012. The cubic root of 4090894080 is about 1599.3348902231.

The spelling of 4090894080 in words is "four billion, ninety million, eight hundred ninety-four thousand, eighty".