4138992 has 160 divisors (see below), whose sum is σ = 14165760. Its totient is φ = 1140480.

The previous prime is 4138987. The next prime is 4138993. The reversal of 4138992 is 2998314.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15552) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61743 + ... + 61809.

It is an arithmetic number, because the mean of its divisors is an integer number (88536).

Almost surely, 2^4138992 is an apocalyptic number.

4138992 is the 1287-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082880).

4138992 is an abundant number, since it is smaller than the sum of its proper divisors (10026768).

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

4138992 is a wasteful number, since it uses less digits than its factorization.

4138992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 4138992 is about 2034.4512773719. The cubic root of 4138992 is about 160.5578444660.

The spelling of 4138992 in words is "four million, one hundred thirty-eight thousand, nine hundred ninety-two".