26401943040 has 320 divisors, whose sum is σ = 93655077120. Its totient is φ = 6290800640.

The previous prime is 26401943027. The next prime is 26401943129. The reversal of 26401943040 is 4034910462.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 26401942992 and 26401943010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4981672 + ... + 4986968.

It is an arithmetic number, because the mean of its divisors is an integer number (292672116).

Almost surely, 2^26401943040 is an apocalyptic number.

26401943040 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 26401943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46827538560).

26401943040 is an abundant number, since it is smaller than the sum of its proper divisors (67253134080).

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

26401943040 is a wasteful number, since it uses less digits than its factorization.

26401943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 26401943040 in words is "twenty-six billion, four hundred one million, nine hundred forty-three thousand, forty".