26944394400 has 1296 divisors, whose sum is σ = 123785389728. Its totient is φ = 5451264000.

The previous prime is 26944394383. The next prime is 26944394417. The reversal of 26944394400 is 449344962.

It is an interprime number because it is at equal distance from previous prime (26944394383) and next prime (26944394417).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 205682335 + ... + 205682465.

It is an arithmetic number, because the mean of its divisors is an integer number (95513418).

Almost surely, 2^26944394400 is an apocalyptic number.

26944394400 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 26944394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61892694864).

26944394400 is an abundant number, since it is smaller than the sum of its proper divisors (96840995328).

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

26944394400 is a wasteful number, since it uses less digits than its factorization.

26944394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26944394400 in words is "twenty-six billion, nine hundred forty-four million, three hundred ninety-four thousand, four hundred".