2113404440400 has 270 divisors, whose sum is σ = 8061450932990. Its totient is φ = 512340364800.

The previous prime is 2113404440353. The next prime is 2113404440443. The reversal of 2113404440400 is 40444043112.

2113404440400 is a `hidden beast` number, since 211 + 3 + 4 + 0 + 4 + 4 + 40 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 51607117584 + 2061797322816 = 227172^2 + 1435896^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1990255 + ... + 2861454.

Almost surely, 2^{2113404440400} is an apocalyptic number.

2113404440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113404440400 is an abundant number, since it is smaller than the sum of its proper divisors (5948046492590).

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

2113404440400 is a wasteful number, since it uses less digits than its factorization.

2113404440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851755 (or 4851730 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2113404440400 its reverse (40444043112), we get a palindrome (2153848483512).

The spelling of 2113404440400 in words is "two trillion, one hundred thirteen billion, four hundred four million, four hundred forty thousand, four hundred".