4098613440 has 112 divisors (see below), whose sum is σ = 13028846688. Its totient is φ = 1091641344.

The previous prime is 4098613429. The next prime is 4098613483. The reversal of 4098613440 is 443168904.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989614 + ... + 993746.

Almost surely, 2^4098613440 is an apocalyptic number.

4098613440 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 4098613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514423344).

4098613440 is an abundant number, since it is smaller than the sum of its proper divisors (8930233248).

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

4098613440 is a wasteful number, since it uses less digits than its factorization.

4098613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4098613440 is about 64020.4142442081. The cubic root of 4098613440 is about 1600.3402193183.

The spelling of 4098613440 in words is "four billion, ninety-eight million, six hundred thirteen thousand, four hundred forty".