2861039126400 has 3456 divisors, whose sum is σ = 13179935671200. Its totient is φ = 541033758720.

The previous prime is 2861039126359. The next prime is 2861039126411. The reversal of 2861039126400 is 46219301682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 39192316764 + ... + 39192316836.

Almost surely, 2^{2861039126400} is an apocalyptic number.

2861039126400 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 2861039126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589967835600).

2861039126400 is an abundant number, since it is smaller than the sum of its proper divisors (10318896544800).

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

2861039126400 is a wasteful number, since it uses less digits than its factorization.

2861039126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2861039126400 in words is "two trillion, eight hundred sixty-one billion, thirty-nine million, one hundred twenty-six thousand, four hundred".