13254394461840 has 720 divisors, whose sum is σ = 54081017093376. Its totient is φ = 2895192115200.

The previous prime is 13254394461829. The next prime is 13254394461857. The reversal of 13254394461840 is 4816449345231.

13254394461840 is a `hidden beast` number, since 1 + 3 + 2 + 54 + 3 + 94 + 461 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 958303725 + ... + 958317555.

Almost surely, 2^{13254394461840} is an apocalyptic number.

13254394461840 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 13254394461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27040508546688).

13254394461840 is an abundant number, since it is smaller than the sum of its proper divisors (40826622631536).

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

13254394461840 is a wasteful number, since it uses less digits than its factorization.

13254394461840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15068 (or 15052 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 13254394461840 in words is "thirteen trillion, two hundred fifty-four billion, three hundred ninety-four million, four hundred sixty-one thousand, eight hundred forty".