13124412351440 has 80 divisors (see below), whose sum is σ = 32862095264208. Its totient is φ = 4845850472448.

The previous prime is 13124412351431. The next prime is 13124412351451. The reversal of 13124412351440 is 4415321442131.

It can be written as a sum of positive squares in 8 ways, for example, as 7094892813376 + 6029519538064 = 2663624^2 + 2455508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13124412351440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110739254 + ... + 110857706.

Almost surely, 2^{13124412351440} is an apocalyptic number.

13124412351440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124412351440 is an abundant number, since it is smaller than the sum of its proper divisors (19737682912768).

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

13124412351440 is a wasteful number, since it uses less digits than its factorization.

13124412351440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225016 (or 225010 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 13124412351440 its reverse (4415321442131), we get a palindrome (17539733793571).

The spelling of 13124412351440 in words is "thirteen trillion, one hundred twenty-four billion, four hundred twelve million, three hundred fifty-one thousand, four hundred forty".