26277416442 has 64 divisors (see below), whose sum is σ = 61610640000. Its totient is φ = 8278827264.

The previous prime is 26277416437. The next prime is 26277416479. The reversal of 26277416442 is 24461477262.

26277416442 is a `hidden beast` number, since 2 + 627 + 7 + 4 + 16 + 4 + 4 + 2 = 666.

26277416442 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26277416442² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414684 + ... + 473832.

It is an arithmetic number, because the mean of its divisors is an integer number (962666250).

Almost surely, 2^26277416442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26277416442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30805320000).

26277416442 is an abundant number, since it is smaller than the sum of its proper divisors (35333223558).

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

26277416442 is a wasteful number, since it uses less digits than its factorization.

26277416442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59612 (or 59606 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 26277416442 in words is "twenty-six billion, two hundred seventy-seven million, four hundred sixteen thousand, four hundred forty-two".