1371204140544 has 960 divisors, whose sum is σ = 5028171033600. Its totient is φ = 350705811456.

The previous prime is 1371204140503. The next prime is 1371204140587. The reversal of 1371204140544 is 4450414021731.

1371204140544 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 204 + 1 + 405 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1371204140499 and 1371204140508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1254532062 + ... + 1254533154.

It is an arithmetic number, because the mean of its divisors is an integer number (5237678160).

Almost surely, 2^{1371204140544} is an apocalyptic number.

1371204140544 is a gapful number since it is divisible by the number (14) 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 1371204140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514085516800).

1371204140544 is an abundant number, since it is smaller than the sum of its proper divisors (3656966893056).

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

1371204140544 is a wasteful number, since it uses less digits than its factorization.

1371204140544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 1371204140544 in words is "one trillion, three hundred seventy-one billion, two hundred four million, one hundred forty thousand, five hundred forty-four".