26342081393400 has 120 divisors (see below), whose sum is σ = 91489951266120. Its totient is φ = 7024555033920.

The previous prime is 26342081393399. The next prime is 26342081393477. The reversal of 26342081393400 is 439318024362.

26342081393400 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 208 + 1 + 39 + 3 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 813011004 + ... + 813043403.

It is an arithmetic number, because the mean of its divisors is an integer number (762416260551).

Almost surely, 2^{26342081393400} is an apocalyptic number.

26342081393400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26342081393400 is an abundant number, since it is smaller than the sum of its proper divisors (65147869872720).

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

26342081393400 is a wasteful number, since it uses less digits than its factorization.

26342081393400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626054435 (or 1626054417 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26342081393400 in words is "twenty-six trillion, three hundred forty-two billion, eighty-one million, three hundred ninety-three thousand, four hundred".