26416227047040 has 192 divisors, whose sum is σ = 94596998801760. Its totient is φ = 7044327171072.

The previous prime is 26416227047003. The next prime is 26416227047047. The reversal of 26416227047040 is 4074072261462.

26416227047040 is a `hidden beast` number, since 2 + 6 + 416 + 227 + 0 + 4 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (26416227047047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84773194 + ... + 85084233.

Almost surely, 2^{26416227047040} is an apocalyptic number.

26416227047040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26416227047040 is an abundant number, since it is smaller than the sum of its proper divisors (68180771754720).

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

26416227047040 is an equidigital number, since it uses as much as digits as its factorization.

26416227047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169857461 (or 169857437 counting only the distinct ones).

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

The spelling of 26416227047040 in words is "twenty-six trillion, four hundred sixteen billion, two hundred twenty-seven million, forty-seven thousand, forty".