4199040000 has 495 divisors, whose sum is σ = 15732875587. Its totient is φ = 1119744000.

The previous prime is 4199039947. The next prime is 4199040031. The reversal of 4199040000 is 409914.

The square root of 4199040000 is 64800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 329204736 + 3869835264 = 18144^2 + 62208^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=180.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 839807998 + ... + 839808002.

Almost surely, 2^4199040000 is an apocalyptic number.

4199040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4199040000 is the 64800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199040000

4199040000 is an abundant number, since it is smaller than the sum of its proper divisors (11533835587).

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

4199040000 is an frugal number, since it uses more digits than its factorization.

4199040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 4199040000 is about 1613.3057087606.

Multiplying 4199040000 by its product of nonzero digits (1296), we get a square (5441955840000 = 2332800²).

4199040000 divided by its product of nonzero digits (1296) gives a square (3240000 = 1800²).

Adding to 4199040000 its reverse (409914), we get a palindrome (4199449914).

The spelling of 4199040000 in words is "four billion, one hundred ninety-nine million, forty thousand".