13434960420 has 576 divisors, whose sum is σ = 51907215360. Its totient is φ = 2743372800.

The previous prime is 13434960403. The next prime is 13434960421. The reversal of 13434960420 is 2406943431.

It is a happy number.

13434960420 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 49 + 604 + 2 + 0 = 666.

It is a super-2 number, since 2×13434960420² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13434960421) 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 191 ways as a sum of consecutive naturals, for example, 31911810 + ... + 31912230.

Almost surely, 2^13434960420 is an apocalyptic number.

13434960420 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 13434960420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953607680).

13434960420 is an abundant number, since it is smaller than the sum of its proper divisors (38472254940).

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

13434960420 is a wasteful number, since it uses less digits than its factorization.

13434960420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13434960420 in words is "thirteen billion, four hundred thirty-four million, nine hundred sixty thousand, four hundred twenty".