4136418990 has 96 divisors (see below), whose sum is σ = 11817187200. Its totient is φ = 995520960.

The previous prime is 4136418977. The next prime is 4136419009. The reversal of 4136418990 is 998146314.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122581 + ... + 152639.

It is an arithmetic number, because the mean of its divisors is an integer number (123095700).

Almost surely, 2^4136418990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136418990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908593600).

4136418990 is an abundant number, since it is smaller than the sum of its proper divisors (7680768210).

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

4136418990 is a wasteful number, since it uses less digits than its factorization.

4136418990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30222 (or 30219 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4136418990 is about 64314.9981730545. The cubic root of 4136418990 is about 1605.2456723539.

The spelling of 4136418990 in words is "four billion, one hundred thirty-six million, four hundred eighteen thousand, nine hundred ninety".