26619220045440 has 640 divisors, whose sum is σ = 108212969589120. Its totient is φ = 6172569722880.

The previous prime is 26619220045423. The next prime is 26619220045591. The reversal of 26619220045440 is 4454002291662.

It is a happy number.

26619220045440 is a `hidden beast` number, since 2 + 6 + 6 + 192 + 2 + 0 + 0 + 454 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12100722 + ... + 14130318.

It is an arithmetic number, because the mean of its divisors is an integer number (169082764983).

Almost surely, 2^{26619220045440} is an apocalyptic number.

26619220045440 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 26619220045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54106484794560).

26619220045440 is an abundant number, since it is smaller than the sum of its proper divisors (81593749543680).

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

26619220045440 is a wasteful number, since it uses less digits than its factorization.

26619220045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029662 (or 2029641 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 26619220045440 in words is "twenty-six trillion, six hundred nineteen billion, two hundred twenty million, forty-five thousand, four hundred forty".