4090245120 has 416 divisors, whose sum is σ = 15687403200. Its totient is φ = 1005060096.

The previous prime is 4090245113. The next prime is 4090245143. The reversal of 4090245120 is 215420904.

4090245120 is a `hidden beast` number, since 40 + 90 + 24 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7188196 + ... + 7188764.

Almost surely, 2^4090245120 is an apocalyptic number.

4090245120 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 4090245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843701600).

4090245120 is an abundant number, since it is smaller than the sum of its proper divisors (11597158080).

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

4090245120 is a wasteful number, since it uses less digits than its factorization.

4090245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4090245120 is about 63955.0241966962. The cubic root of 4090245120 is about 1599.2503154547.

The spelling of 4090245120 in words is "four billion, ninety million, two hundred forty-five thousand, one hundred twenty".