13843751040 has 512 divisors, whose sum is σ = 56419545600. Its totient is φ = 3142582272.

The previous prime is 13843751027. The next prime is 13843751041. The reversal of 13843751040 is 4015734831.

It is a happy number.

13843751040 is a `hidden beast` number, since 138 + 4 + 3 + 7 + 510 + 4 + 0 = 666.

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 = 13843750986 and 13843751004.

It is not an unprimeable number, because it can be changed into a prime (13843751041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23344984 + ... + 23345576.

It is an arithmetic number, because the mean of its divisors is an integer number (110194425).

Almost surely, 2^13843751040 is an apocalyptic number.

13843751040 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 13843751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28209772800).

13843751040 is an abundant number, since it is smaller than the sum of its proper divisors (42575794560).

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

13843751040 is a wasteful number, since it uses less digits than its factorization.

13843751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 13843751040 in words is "thirteen billion, eight hundred forty-three million, seven hundred fifty-one thousand, forty".