4004101998 has 96 divisors (see below), whose sum is σ = 9781140096. Its totient is φ = 1220311008.

The previous prime is 4004101991. The next prime is 4004101999. The reversal of 4004101998 is 8991014004.

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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004101991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673065 + ... + 678987.

It is an arithmetic number, because the mean of its divisors is an integer number (101886876).

Almost surely, 2^4004101998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004101998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890570048).

4004101998 is an abundant number, since it is smaller than the sum of its proper divisors (5777038098).

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

4004101998 is a wasteful number, since it uses less digits than its factorization.

4004101998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6060 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4004101998 is about 63277.9740352044. The cubic root of 4004101998 is about 1587.9434929145.

The spelling of 4004101998 in words is "four billion, four million, one hundred one thousand, nine hundred ninety-eight".