26280003434040 has 192 divisors, whose sum is σ = 88583232497760. Its totient is φ = 7007218606080.

The previous prime is 26280003434017. The next prime is 26280003434051. The reversal of 26280003434040 is 4043430008262.

26280003434040 is a `hidden beast` number, since 2 + 6 + 280 + 0 + 0 + 34 + 340 + 4 + 0 = 666.

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 = 26280003433986 and 26280003434004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89676232 + ... + 89968808.

Almost surely, 2^{26280003434040} is an apocalyptic number.

26280003434040 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 26280003434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44291616248880).

26280003434040 is an abundant number, since it is smaller than the sum of its proper divisors (62303229063720).

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

26280003434040 is a wasteful number, since it uses less digits than its factorization.

26280003434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301844 (or 301828 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 26280003434040 in words is "twenty-six trillion, two hundred eighty billion, three million, four hundred thirty-four thousand, forty".