26407004400 has 840 divisors, whose sum is σ = 115255328544. Its totient is φ = 5673369600.

The previous prime is 26407004399. The next prime is 26407004413. The reversal of 26407004400 is 440070462.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34700020 + ... + 34700780.

Almost surely, 2^26407004400 is an apocalyptic number.

26407004400 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 26407004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57627664272).

26407004400 is an abundant number, since it is smaller than the sum of its proper divisors (88848324144).

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

26407004400 is a wasteful number, since it uses less digits than its factorization.

26407004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 26407004400 its reverse (440070462), we get a palindrome (26847074862).

The spelling of 26407004400 in words is "twenty-six billion, four hundred seven million, four thousand, four hundred".