26133049440 has 120 divisors (see below), whose sum is σ = 92227932720. Its totient is φ = 6968809728.

The previous prime is 26133049433. The next prime is 26133049469. The reversal of 26133049440 is 4494033162.

It is a happy number.

26133049440 is a `hidden beast` number, since 2 + 613 + 30 + 4 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26133049395 and 26133049404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 995260 + ... + 1021179.

It is an arithmetic number, because the mean of its divisors is an integer number (768566106).

Almost surely, 2^26133049440 is an apocalyptic number.

26133049440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26133049440 is an abundant number, since it is smaller than the sum of its proper divisors (66094883280).

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

26133049440 is a wasteful number, since it uses less digits than its factorization.

26133049440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016466 (or 2016449 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 26133049440 in words is "twenty-six billion, one hundred thirty-three million, forty-nine thousand, four hundred forty".