4074004000 has 192 divisors, whose sum is σ = 11132214912. Its totient is φ = 1452672000.

The previous prime is 4074003953. The next prime is 4074004003. The reversal of 4074004000 is 4004704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4074004003) 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, 2331127 + ... + 2332873.

It is an arithmetic number, because the mean of its divisors is an integer number (57980286).

Almost surely, 2^4074004000 is an apocalyptic number.

4074004000 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 4074004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566107456).

4074004000 is an abundant number, since it is smaller than the sum of its proper divisors (7058210912).

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

4074004000 is a wasteful number, since it uses less digits than its factorization.

4074004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 4074004000 is about 63827.9249231870. The cubic root of 4074004000 is about 1597.1307953660.

Adding to 4074004000 its reverse (4004704), we get a palindrome (4078008704).

The spelling of 4074004000 in words is "four billion, seventy-four million, four thousand".