1215307885440 has 1024 divisors, whose sum is σ = 4573124075520. Its totient is φ = 271552512000.

The previous prime is 1215307885411. The next prime is 1215307885453. The reversal of 1215307885440 is 445887035121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1215307885440.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1733677090 + ... + 1733677790.

It is an arithmetic number, because the mean of its divisors is an integer number (4465941480).

Almost surely, 2^{1215307885440} is an apocalyptic number.

1215307885440 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 1215307885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286562037760).

1215307885440 is an abundant number, since it is smaller than the sum of its proper divisors (3357816190080).

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

1215307885440 is a wasteful number, since it uses less digits than its factorization.

1215307885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 1215307885440 in words is "one trillion, two hundred fifteen billion, three hundred seven million, eight hundred eighty-five thousand, four hundred forty".