4138992000 has 1024 divisors, whose sum is σ = 18177868800. Its totient is φ = 912384000.

The previous prime is 4138991999. The next prime is 4138992041. The reversal of 4138992000 is 2998314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61775967 + ... + 61776033.

It is an arithmetic number, because the mean of its divisors is an integer number (17751825).

Almost surely, 2^4138992000 is an apocalyptic number.

4138992000 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 4138992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088934400).

4138992000 is an abundant number, since it is smaller than the sum of its proper divisors (14038876800).

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

4138992000 is a wasteful number, since it uses less digits than its factorization.

4138992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

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

The square root of 4138992000 is about 64334.9982513406. The cubic root of 4138992000 is about 1605.5784446600.

The spelling of 4138992000 in words is "four billion, one hundred thirty-eight million, nine hundred ninety-two thousand".