26226149342400 has 3024 divisors, whose sum is σ = 121678118848000. Its totient is φ = 5339456962560.

The previous prime is 26226149342363. The next prime is 26226149342473. The reversal of 26226149342400 is 424394162262.

26226149342400 is a `hidden beast` number, since 2 + 6 + 2 + 2 + 614 + 9 + 3 + 4 + 24 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 27121146717 + ... + 27121147683.

Almost surely, 2^{26226149342400} is an apocalyptic number.

26226149342400 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 26226149342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60839059424000).

26226149342400 is an abundant number, since it is smaller than the sum of its proper divisors (95451969505600).

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

26226149342400 is a wasteful number, since it uses less digits than its factorization.

26226149342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 26226149342400 in words is "twenty-six trillion, two hundred twenty-six billion, one hundred forty-nine million, three hundred forty-two thousand, four hundred".