2411204200400 has 120 divisors (see below), whose sum is σ = 6151059960984. Its totient is φ = 905175040000.

The previous prime is 2411204200399. The next prime is 2411204200439. The reversal of 2411204200400 is 40024021142.

It can be written as a sum of positive squares in 12 ways, for example, as 20012063296 + 2391192137104 = 141464^2 + 1546348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1898150 + ... + 2902650.

Almost surely, 2^{2411204200400} is an apocalyptic number.

2411204200400 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 2411204200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075529980492).

2411204200400 is an abundant number, since it is smaller than the sum of its proper divisors (3739855760584).

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

2411204200400 is a wasteful number, since it uses less digits than its factorization.

2411204200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004889 (or 1004878 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 2411204200400 its reverse (40024021142), we get a palindrome (2451228221542).

The spelling of 2411204200400 in words is "two trillion, four hundred eleven billion, two hundred four million, two hundred thousand, four hundred".