26742903121440 has 1296 divisors, whose sum is σ = 109296838909440. Its totient is φ = 5903964979200.

The previous prime is 26742903121427. The next prime is 26742903121573. The reversal of 26742903121440 is 4412130924762.

26742903121440 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 290 + 312 + 1 + 4 + 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 215 ways as a sum of consecutive naturals, for example, 4399224321 + ... + 4399230399.

It is an arithmetic number, because the mean of its divisors is an integer number (84333980640).

Almost surely, 2^{26742903121440} is an apocalyptic number.

26742903121440 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 26742903121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54648419454720).

26742903121440 is an abundant number, since it is smaller than the sum of its proper divisors (82553935788000).

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

26742903121440 is a wasteful number, since it uses less digits than its factorization.

26742903121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6207 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26742903121440 in words is "twenty-six trillion, seven hundred forty-two billion, nine hundred three million, one hundred twenty-one thousand, four hundred forty".