13151535445440 has 1008 divisors, whose sum is σ = 53216379216000. Its totient is φ = 2972260859904.

The previous prime is 13151535445427. The next prime is 13151535445481. The reversal of 13151535445440 is 4454453515131.

13151535445440 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 1 + 53 + 54 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5025423012 + ... + 5025425628.

It is an arithmetic number, because the mean of its divisors is an integer number (52794027000).

Almost surely, 2^{13151535445440} is an apocalyptic number.

13151535445440 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 13151535445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26608189608000).

13151535445440 is an abundant number, since it is smaller than the sum of its proper divisors (40064843770560).

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

13151535445440 is a wasteful number, since it uses less digits than its factorization.

13151535445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 13151535445440 in words is "thirteen trillion, one hundred fifty-one billion, five hundred thirty-five million, four hundred forty-five thousand, four hundred forty".