13410951840 has 768 divisors, whose sum is σ = 58433840640. Its totient is φ = 2822307840.

The previous prime is 13410951833. The next prime is 13410951859. The reversal of 13410951840 is 4815901431.

13410951840 is a `hidden beast` number, since 1 + 34 + 109 + 518 + 4 + 0 = 666.

13410951840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13410951795 and 13410951804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10501282 + ... + 10502558.

It is an arithmetic number, because the mean of its divisors is an integer number (76085730).

Almost surely, 2^13410951840 is an apocalyptic number.

13410951840 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 13410951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29216920320).

13410951840 is an abundant number, since it is smaller than the sum of its proper divisors (45022888800).

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

13410951840 is a wasteful number, since it uses less digits than its factorization.

13410951840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 13410951840 in words is "thirteen billion, four hundred ten million, nine hundred fifty-one thousand, eight hundred forty".