2141334410400 has 216 divisors, whose sum is σ = 7811256414780. Its totient is φ = 551332024320.

The previous prime is 2141334410399. The next prime is 2141334410431. The reversal of 2141334410400 is 40144331412.

2141334410400 is a `hidden beast` number, since 214 + 1 + 3 + 3 + 4 + 41 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 328315248144 + 1813019162256 = 572988^2 + 1346484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4918917 + ... + 5336516.

Almost surely, 2^{2141334410400} is an apocalyptic number.

2141334410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141334410400 is an abundant number, since it is smaller than the sum of its proper divisors (5669922004380).

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

2141334410400 is a wasteful number, since it uses less digits than its factorization.

2141334410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255488 (or 10255472 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2141334410400 its reverse (40144331412), we get a palindrome (2181478741812).

The spelling of 2141334410400 in words is "two trillion, one hundred forty-one billion, three hundred thirty-four million, four hundred ten thousand, four hundred".