26671078440 has 256 divisors, whose sum is σ = 92168928000. Its totient is φ = 6852142080.

The previous prime is 26671078429. The next prime is 26671078451. The reversal of 26671078440 is 4487017662.

It is an interprime number because it is at equal distance from previous prime (26671078429) and next prime (26671078451).

It is a super-2 number, since 2×26671078440² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 27467155 + ... + 27468125.

It is an arithmetic number, because the mean of its divisors is an integer number (360034875).

Almost surely, 2^26671078440 is an apocalyptic number.

26671078440 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 26671078440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46084464000).

26671078440 is an abundant number, since it is smaller than the sum of its proper divisors (65497849560).

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

26671078440 is a wasteful number, since it uses less digits than its factorization.

26671078440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 26671078440 in words is "twenty-six billion, six hundred seventy-one million, seventy-eight thousand, four hundred forty".