26451540541440 has 1024 divisors, whose sum is σ = 110393738956800. Its totient is φ = 5882404405248.

The previous prime is 26451540541427. The next prime is 26451540541457. The reversal of 26451540541440 is 4414504515462.

26451540541440 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 1 + 540 + 54 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145721577 + ... + 1145744663.

It is an arithmetic number, because the mean of its divisors is an integer number (107806385700).

Almost surely, 2^{26451540541440} is an apocalyptic number.

26451540541440 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 26451540541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55196869478400).

26451540541440 is an abundant number, since it is smaller than the sum of its proper divisors (83942198415360).

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

26451540541440 is an equidigital number, since it uses as much as digits as its factorization.

26451540541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23175 (or 23141 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 26451540541440 in words is "twenty-six trillion, four hundred fifty-one billion, five hundred forty million, five hundred forty-one thousand, four hundred forty".