4090413138 has 64 divisors (see below), whose sum is σ = 9960330240. Its totient is φ = 1093822272.

The previous prime is 4090413121. The next prime is 4090413143. The reversal of 4090413138 is 8313140904.

4090413138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4090413099 and 4090413108.

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, 35356 + ... + 97112.

It is an arithmetic number, because the mean of its divisors is an integer number (155630160).

Almost surely, 2^4090413138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4090413138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980165120).

4090413138 is an abundant number, since it is smaller than the sum of its proper divisors (5869917102).

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

4090413138 is a wasteful number, since it uses less digits than its factorization.

4090413138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61871.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4090413138 is about 63956.3377469348. The cubic root of 4090413138 is about 1599.2722130144.

The spelling of 4090413138 in words is "four billion, ninety million, four hundred thirteen thousand, one hundred thirty-eight".