26776043411040 has 6144 divisors, whose sum is σ = 138454106112000. Its totient is φ = 4659727564800.

The previous prime is 26776043411021. The next prime is 26776043411041. The reversal of 26776043411040 is 4011434067762.

26776043411040 is a `hidden beast` number, since 2 + 6 + 7 + 7 + 60 + 434 + 110 + 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 not an unprimeable number, because it can be changed into a prime (26776043411041) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 116925953646 + ... + 116925953874.

It is an arithmetic number, because the mean of its divisors is an integer number (22534848000).

Almost surely, 2^{26776043411040} is an apocalyptic number.

26776043411040 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 26776043411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69227053056000).

26776043411040 is an abundant number, since it is smaller than the sum of its proper divisors (111678062700960).

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

26776043411040 is a wasteful number, since it uses less digits than its factorization.

26776043411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 26776043411040 in words is "twenty-six trillion, seven hundred seventy-six billion, forty-three million, four hundred eleven thousand, forty".