13434265043760 has 160 divisors (see below), whose sum is σ = 45439558682112. Its totient is φ = 3256267018240.

The previous prime is 13434265043723. The next prime is 13434265043897. The reversal of 13434265043760 is 6734056243431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 16111837 + ... + 16925123.

Almost surely, 2^{13434265043760} is an apocalyptic number.

13434265043760 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 13434265043760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22719779341056).

13434265043760 is an abundant number, since it is smaller than the sum of its proper divisors (32005293638352).

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

13434265043760 is a wasteful number, since it uses less digits than its factorization.

13434265043760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819571 (or 819565 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 13434265043760 in words is "thirteen trillion, four hundred thirty-four billion, two hundred sixty-five million, forty-three thousand, seven hundred sixty".