2141414011400 has 96 divisors (see below), whose sum is σ = 5241290652000. Its totient is φ = 811411729920.

The previous prime is 2141414011349. The next prime is 2141414011417. The reversal of 2141414011400 is 41104141412.

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, 66784172 + ... + 66816228.

It is an arithmetic number, because the mean of its divisors is an integer number (54596777625).

Almost surely, 2^{2141414011400} is an apocalyptic number.

2141414011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141414011400 is an abundant number, since it is smaller than the sum of its proper divisors (3099876640600).

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

2141414011400 is a wasteful number, since it uses less digits than its factorization.

2141414011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49671 (or 49662 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 2141414011400 its reverse (41104141412), we get a palindrome (2182518152812).

The spelling of 2141414011400 in words is "two trillion, one hundred forty-one billion, four hundred fourteen million, eleven thousand, four hundred".