12901405840 has 80 divisors (see below), whose sum is σ = 31636814400. Its totient is φ = 4879305216.

The previous prime is 12901405619. The next prime is 12901405861. The reversal of 12901405840 is 4850410921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12901405840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12901405796 and 12901405805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786846 + ... + 803074.

It is an arithmetic number, because the mean of its divisors is an integer number (395460180).

Almost surely, 2^12901405840 is an apocalyptic number.

12901405840 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 12901405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818407200).

12901405840 is an abundant number, since it is smaller than the sum of its proper divisors (18735408560).

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

12901405840 is a wasteful number, since it uses less digits than its factorization.

12901405840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16784 (or 16778 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 12901405840 in words is "twelve billion, nine hundred one million, four hundred five thousand, eight hundred forty".