26340005402400 has 144 divisors (see below), whose sum is σ = 86015992686624. Its totient is φ = 7001121761280.

The previous prime is 26340005402387. The next prime is 26340005402419. The reversal of 26340005402400 is 420450004362.

It is a super-2 number, since 2×26340005402400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17137797 + ... + 18611396.

It is an arithmetic number, because the mean of its divisors is an integer number (597333282546).

Almost surely, 2^{26340005402400} is an apocalyptic number.

26340005402400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26340005402400 is an abundant number, since it is smaller than the sum of its proper divisors (59675987284224).

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

26340005402400 is a wasteful number, since it uses less digits than its factorization.

26340005402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35749523 (or 35749510 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 26340005402400 its reverse (420450004362), we get a palindrome (26760455406762).

The spelling of 26340005402400 in words is "twenty-six trillion, three hundred forty billion, five million, four hundred two thousand, four hundred".