26414162400 has 72 divisors (see below), whose sum is σ = 85978106424. Its totient is φ = 7043776000.

The previous prime is 26414162377. The next prime is 26414162431. The reversal of 26414162400 is 426141462.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5500551 + ... + 5505350.

It is an arithmetic number, because the mean of its divisors is an integer number (1194140367).

Almost surely, 2^26414162400 is an apocalyptic number.

26414162400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26414162400 is an abundant number, since it is smaller than the sum of its proper divisors (59563944024).

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

26414162400 is a wasteful number, since it uses less digits than its factorization.

26414162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005924 (or 11005911 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 26414162400 in words is "twenty-six billion, four hundred fourteen million, one hundred sixty-two thousand, four hundred".