26140514400 has 2160 divisors, whose sum is σ = 132849497088. Its totient is φ = 4852224000.

The previous prime is 26140514381. The next prime is 26140514401. The reversal of 26140514400 is 441504162.

26140514400 is a `hidden beast` number, since 2 + 6 + 140 + 514 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26140514401) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 843242385 + ... + 843242415.

Almost surely, 2^26140514400 is an apocalyptic number.

26140514400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26140514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66424748544).

26140514400 is an abundant number, since it is smaller than the sum of its proper divisors (106708982688).

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

26140514400 is a wasteful number, since it uses less digits than its factorization.

26140514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 26140514400 in words is "twenty-six billion, one hundred forty million, five hundred fourteen thousand, four hundred".