2105138406400 has 528 divisors, whose sum is σ = 5567483658240. Its totient is φ = 787569868800.

The previous prime is 2105138406383. The next prime is 2105138406433. The reversal of 2105138406400 is 46048315012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7768038265 + ... + 7768038535.

Almost surely, 2^{2105138406400} is an apocalyptic number.

2105138406400 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 2105138406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783741829120).

2105138406400 is an abundant number, since it is smaller than the sum of its proper divisors (3462345251840).

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

2105138406400 is a wasteful number, since it uses less digits than its factorization.

2105138406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 2105138406400 in words is "two trillion, one hundred five billion, one hundred thirty-eight million, four hundred six thousand, four hundred".