13433747424240 has 1280 divisors, whose sum is σ = 52568659390464. Its totient is φ = 2787803136000.

The previous prime is 13433747424221. The next prime is 13433747424247. The reversal of 13433747424240 is 4242474733431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13433747424240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13433747424247) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16322900469 + ... + 16322901291.

Almost surely, 2^{13433747424240} is an apocalyptic number.

13433747424240 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 13433747424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284329695232).

13433747424240 is an abundant number, since it is smaller than the sum of its proper divisors (39134911966224).

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

13433747424240 is a wasteful number, since it uses less digits than its factorization.

13433747424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 48.

The spelling of 13433747424240 in words is "thirteen trillion, four hundred thirty-three billion, seven hundred forty-seven million, four hundred twenty-four thousand, two hundred forty".