26466440000 has 560 divisors, whose sum is σ = 88249451136. Its totient is φ = 7603200000.

The previous prime is 26466439997. The next prime is 26466440017. The reversal of 26466440000 is 4466462.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40039670 + ... + 40040330.

Almost surely, 2^26466440000 is an apocalyptic number.

26466440000 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 26466440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44124725568).

26466440000 is an abundant number, since it is smaller than the sum of its proper divisors (61783011136).

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

26466440000 is a wasteful number, since it uses less digits than its factorization.

26466440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 26466440000 in words is "twenty-six billion, four hundred sixty-six million, four hundred forty thousand".