26445450240 has 1320 divisors, whose sum is σ = 113848834176. Its totient is φ = 5839257600.

The previous prime is 26445450211. The next prime is 26445450281. The reversal of 26445450240 is 4205454462.

26445450240 is a `hidden beast` number, since 2 + 64 + 4 + 54 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26445450195 and 26445450204.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 853079025 + ... + 853079055.

Almost surely, 2^26445450240 is an apocalyptic number.

26445450240 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 26445450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56924417088).

26445450240 is an abundant number, since it is smaller than the sum of its proper divisors (87403383936).

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

26445450240 is a wasteful number, since it uses less digits than its factorization.

26445450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 26445450240 in words is "twenty-six billion, four hundred forty-five million, four hundred fifty thousand, two hundred forty".