26403561354240 has 1056 divisors, whose sum is σ = 105762758400000. Its totient is φ = 5965930561536.

The previous prime is 26403561354197. The next prime is 26403561354257. The reversal of 26403561354240 is 4245316530462.

26403561354240 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 3 + 5 + 61 + 3 + 542 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11006068561 + ... + 11006070959.

Almost surely, 2^{26403561354240} is an apocalyptic number.

26403561354240 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 26403561354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52881379200000).

26403561354240 is an abundant number, since it is smaller than the sum of its proper divisors (79359197045760).

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

26403561354240 is a wasteful number, since it uses less digits than its factorization.

26403561354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 26403561354240 in words is "twenty-six trillion, four hundred three billion, five hundred sixty-one million, three hundred fifty-four thousand, two hundred forty".