13534214440320 has 384 divisors, whose sum is σ = 53474562872640. Its totient is φ = 3089900224512.

The previous prime is 13534214440303. The next prime is 13534214440367. The reversal of 13534214440320 is 2304441243531.

13534214440320 is a `hidden beast` number, since 1 + 3 + 5 + 34 + 214 + 4 + 403 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34196202 + ... + 34589718.

Almost surely, 2^{13534214440320} is an apocalyptic number.

13534214440320 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 13534214440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26737281436320).

13534214440320 is an abundant number, since it is smaller than the sum of its proper divisors (39940348432320).

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

13534214440320 is a wasteful number, since it uses less digits than its factorization.

13534214440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394402 (or 394387 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 13534214440320 its reverse (2304441243531), we get a palindrome (15838655683851).

The spelling of 13534214440320 in words is "thirteen trillion, five hundred thirty-four billion, two hundred fourteen million, four hundred forty thousand, three hundred twenty".