1521361343040 has 336 divisors, whose sum is σ = 6067846087296. Its totient is φ = 316126863360.

The previous prime is 1521361343011. The next prime is 1521361343147. The reversal of 1521361343040 is 403431631251.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1521361342992 and 1521361343010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122389 + ... + 1748628.

It is an arithmetic number, because the mean of its divisors is an integer number (18059065736).

Almost surely, 2^{1521361343040} is an apocalyptic number.

1521361343040 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 1521361343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033923043648).

1521361343040 is an abundant number, since it is smaller than the sum of its proper divisors (4546484744256).

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

1521361343040 is a wasteful number, since it uses less digits than its factorization.

1521361343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871066 (or 1871045 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 1521361343040 its reverse (403431631251), we get a palindrome (1924792974291).

The spelling of 1521361343040 in words is "one trillion, five hundred twenty-one billion, three hundred sixty-one million, three hundred forty-three thousand, forty".