26164970101440 has 1568 divisors, whose sum is σ = 101621378753280. Its totient is φ = 6388668039168.

The previous prime is 26164970101379. The next prime is 26164970101477. The reversal of 26164970101440 is 4410107946162.

26164970101440 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 497 + 0 + 10 + 144 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 42683474574 + ... + 42683475186.

Almost surely, 2^{26164970101440} is an apocalyptic number.

26164970101440 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 26164970101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50810689376640).

26164970101440 is an abundant number, since it is smaller than the sum of its proper divisors (75456408651840).

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

26164970101440 is a wasteful number, since it uses less digits than its factorization.

26164970101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26164970101440 in words is "twenty-six trillion, one hundred sixty-four billion, nine hundred seventy million, one hundred one thousand, four hundred forty".