13781826240 has 672 divisors, whose sum is σ = 56662953984. Its totient is φ = 2810142720.

The previous prime is 13781826229. The next prime is 13781826307. The reversal of 13781826240 is 4262818731.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 13781826192 and 13781826201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18956757 + ... + 18957483.

It is an arithmetic number, because the mean of its divisors is an integer number (84319872).

Almost surely, 2^13781826240 is an apocalyptic number.

13781826240 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 13781826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28331476992).

13781826240 is an abundant number, since it is smaller than the sum of its proper divisors (42881127744).

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

13781826240 is a wasteful number, since it uses less digits than its factorization.

13781826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 13781826240 in words is "thirteen billion, seven hundred eighty-one million, eight hundred twenty-six thousand, two hundred forty".