26942932074240 has 4032 divisors, whose sum is σ = 125245270757376. Its totient is φ = 5399710138368.

The previous prime is 26942932074181. The next prime is 26942932074257. The reversal of 26942932074240 is 4247023924962.

It is a happy number.

26942932074240 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 2 + 9 + 3 + 207 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×26942932074240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 171611032242 + ... + 171611032398.

It is an arithmetic number, because the mean of its divisors is an integer number (31062815168).

Almost surely, 2^{26942932074240} is an apocalyptic number.

26942932074240 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 26942932074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62622635378688).

26942932074240 is an abundant number, since it is smaller than the sum of its proper divisors (98302338683136).

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

26942932074240 is a wasteful number, since it uses less digits than its factorization.

26942932074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 26942932074240 in words is "twenty-six trillion, nine hundred forty-two billion, nine hundred thirty-two million, seventy-four thousand, two hundred forty".