12802094400 has 336 divisors, whose sum is σ = 44569611648. Its totient is φ = 3210240000.

The previous prime is 12802094381. The next prime is 12802094413. The reversal of 12802094400 is 449020821.

It is a super-4 number, since 4×12802094400⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 6733450 + ... + 6735350.

Almost surely, 2^12802094400 is an apocalyptic number.

12802094400 is a gapful number since it is divisible by the number (10) 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 12802094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22284805824).

12802094400 is an abundant number, since it is smaller than the sum of its proper divisors (31767517248).

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

12802094400 is a wasteful number, since it uses less digits than its factorization.

12802094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 12802094400 in words is "twelve billion, eight hundred two million, ninety-four thousand, four hundred".