26014919040 has 896 divisors, whose sum is σ = 105233865120. Its totient is φ = 6091407360.

The previous prime is 26014919039. The next prime is 26014919041. The reversal of 26014919040 is 4091941062.

It is a happy number.

26014919040 is a `hidden beast` number, since 2 + 601 + 4 + 9 + 1 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (26014919039) and next prime (26014919041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26014918986 and 26014919004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26014919041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189889852 + ... + 189889988.

Almost surely, 2^26014919040 is an apocalyptic number.

26014919040 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 26014919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52616932560).

26014919040 is an abundant number, since it is smaller than the sum of its proper divisors (79218946080).

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

26014919040 is a wasteful number, since it uses less digits than its factorization.

26014919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 26014919040 in words is "twenty-six billion, fourteen million, nine hundred nineteen thousand, forty".