1351404260544 has 224 divisors, whose sum is σ = 3981432784896. Its totient is φ = 401736867840.

The previous prime is 1351404260543. The next prime is 1351404260599. The reversal of 1351404260544 is 4450624041531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1351404260543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47726839 + ... + 47755145.

It is an arithmetic number, because the mean of its divisors is an integer number (17774253504).

Almost surely, 2^{1351404260544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351404260544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990716392448).

1351404260544 is an abundant number, since it is smaller than the sum of its proper divisors (2630028524352).

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

1351404260544 is a wasteful number, since it uses less digits than its factorization.

1351404260544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28983 (or 28973 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 1351404260544 in words is "one trillion, three hundred fifty-one billion, four hundred four million, two hundred sixty thousand, five hundred forty-four".