13805245440 has 528 divisors, whose sum is σ = 55262318592. Its totient is φ = 3121348608.

The previous prime is 13805245429. The next prime is 13805245453. The reversal of 13805245440 is 4454250831.

It is a happy number.

13805245440 is a `hidden beast` number, since 1 + 3 + 80 + 524 + 54 + 4 + 0 = 666.

It is a super-3 number, since 3×13805245440³ (a number of 31 digits) contains 333 as substring.

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 = 13805245395 and 13805245404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40964952 + ... + 40965288.

Almost surely, 2^13805245440 is an apocalyptic number.

13805245440 is a gapful number since it is divisible by the number (10) 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 13805245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27631159296).

13805245440 is an abundant number, since it is smaller than the sum of its proper divisors (41457073152).

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

13805245440 is a wasteful number, since it uses less digits than its factorization.

13805245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 13805245440 in words is "thirteen billion, eight hundred five million, two hundred forty-five thousand, four hundred forty".