13410757241000 has 128 divisors (see below), whose sum is σ = 37973855462400. Its totient is φ = 4327504819200.

The previous prime is 13410757240957. The next prime is 13410757241053. The reversal of 13410757241000 is 14275701431.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56228720 + ... + 56466719.

It is an arithmetic number, because the mean of its divisors is an integer number (296670745800).

Almost surely, 2^{13410757241000} is an apocalyptic number.

13410757241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13410757241000 is an abundant number, since it is smaller than the sum of its proper divisors (24563098221400).

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

13410757241000 is a wasteful number, since it uses less digits than its factorization.

13410757241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112695484 (or 112695470 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 13410757241000 in words is "thirteen trillion, four hundred ten billion, seven hundred fifty-seven million, two hundred forty-one thousand".