26851260421440 has 5040 divisors, whose sum is σ = 129662798848128. Its totient is φ = 5272543051776.

The previous prime is 26851260421421. The next prime is 26851260421483. The reversal of 26851260421440 is 4412406215862.

26851260421440 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 12 + 604 + 21 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 725709741102 + ... + 725709741138.

Almost surely, 2^{26851260421440} is an apocalyptic number.

26851260421440 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 26851260421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64831399424064).

26851260421440 is an abundant number, since it is smaller than the sum of its proper divisors (102811538426688).

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

26851260421440 is an equidigital number, since it uses as much as digits as its factorization.

26851260421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 26851260421440 in words is "twenty-six trillion, eight hundred fifty-one billion, two hundred sixty million, four hundred twenty-one thousand, four hundred forty".