26233640440224 has 96 divisors (see below), whose sum is σ = 78710676621696. Its totient is φ = 7494396764160.

The previous prime is 26233640440219. The next prime is 26233640440229. The reversal of 26233640440224 is 42204404633262.

It is an interprime number because it is at equal distance from previous prime (26233640440219) and next prime (26233640440229).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26233640440229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3015004 + ... + 7845860.

It is an arithmetic number, because the mean of its divisors is an integer number (819902881476).

Almost surely, 2^{26233640440224} is an apocalyptic number.

26233640440224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26233640440224 is an abundant number, since it is smaller than the sum of its proper divisors (52477036181472).

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

26233640440224 is a wasteful number, since it uses less digits than its factorization.

26233640440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838958 (or 4838950 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 26233640440224 in words is "twenty-six trillion, two hundred thirty-three billion, six hundred forty million, four hundred forty thousand, two hundred twenty-four".