26079401040 has 640 divisors, whose sum is σ = 103519088640. Its totient is φ = 5319198720.

The previous prime is 26079401017. The next prime is 26079401053. The reversal of 26079401040 is 4010497062.

It is a happy number.

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 = 26079400992 and 26079401010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239260506 + ... + 239260614.

It is an arithmetic number, because the mean of its divisors is an integer number (161748576).

Almost surely, 2^26079401040 is an apocalyptic number.

26079401040 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 26079401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51759544320).

26079401040 is an abundant number, since it is smaller than the sum of its proper divisors (77439687600).

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

26079401040 is a wasteful number, since it uses less digits than its factorization.

26079401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 26079401040 in words is "twenty-six billion, seventy-nine million, four hundred one thousand, forty".