4004121600 has 330 divisors, whose sum is σ = 14834469804. Its totient is φ = 1067212800.

The previous prime is 4004121599. The next prime is 4004121629. The reversal of 4004121600 is 61214004.

4004121600 is a `hidden beast` number, since 4 + 0 + 0 + 41 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2072635 + ... + 2074565.

Almost surely, 2^4004121600 is an apocalyptic number.

4004121600 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 4004121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417234902).

4004121600 is an abundant number, since it is smaller than the sum of its proper divisors (10830348204).

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

4004121600 is a wasteful number, since it uses less digits than its factorization.

4004121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4004121600 is about 63278.1289230331. The cubic root of 4004121600 is about 1587.9460841586.

Adding to 4004121600 its reverse (61214004), we get a palindrome (4065335604).

The spelling of 4004121600 in words is "four billion, four million, one hundred twenty-one thousand, six hundred".