26400845040 has 80 divisors (see below), whose sum is σ = 86150140800. Its totient is φ = 6669686016.

The previous prime is 26400845039. The next prime is 26400845071. The reversal of 26400845040 is 4054800462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 26400844992 and 26400845010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2890270 + ... + 2899389.

It is an arithmetic number, because the mean of its divisors is an integer number (1076876760).

Almost surely, 2^26400845040 is an apocalyptic number.

26400845040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26400845040 is an abundant number, since it is smaller than the sum of its proper divisors (59749295760).

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

26400845040 is a wasteful number, since it uses less digits than its factorization.

26400845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789694 (or 5789688 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 26400845040 in words is "twenty-six billion, four hundred million, eight hundred forty-five thousand, forty".