2004124001400 has 576 divisors, whose sum is σ = 7278327014400. Its totient is φ = 492599854080.

The previous prime is 2004124001351. The next prime is 2004124001459. The reversal of 2004124001400 is 41004214002.

2004124001400 is a `hidden beast` number, since 20 + 0 + 4 + 1 + 240 + 0 + 1 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278076597 + ... + 278083803.

It is an arithmetic number, because the mean of its divisors is an integer number (12635984400).

Almost surely, 2^{2004124001400} is an apocalyptic number.

2004124001400 is a gapful number since it is divisible by the number (20) 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 2004124001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639163507200).

2004124001400 is an abundant number, since it is smaller than the sum of its proper divisors (5274203013000).

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

2004124001400 is a wasteful number, since it uses less digits than its factorization.

2004124001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7468 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2004124001400 its reverse (41004214002), we get a palindrome (2045128215402).

The spelling of 2004124001400 in words is "two trillion, four billion, one hundred twenty-four million, one thousand, four hundred".