26404146540 has 72 divisors (see below), whose sum is σ = 80145728208. Its totient is φ = 7036433280.

The previous prime is 26404146539. The next prime is 26404146541. The reversal of 26404146540 is 4564140462.

26404146540 is a `hidden beast` number, since 2 + 640 + 4 + 1 + 4 + 6 + 5 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26404146539) and next prime (26404146541).

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 = 26404146495 and 26404146504.

It is not an unprimeable number, because it can be changed into a prime (26404146541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227674 + ... + 323486.

It is an arithmetic number, because the mean of its divisors is an integer number (1113135114).

Almost surely, 2^26404146540 is an apocalyptic number.

26404146540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26404146540 is an abundant number, since it is smaller than the sum of its proper divisors (53741581668).

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

26404146540 is a wasteful number, since it uses less digits than its factorization.

26404146540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97359 (or 97354 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 26404146540 in words is "twenty-six billion, four hundred four million, one hundred forty-six thousand, five hundred forty".