1215315002440 has 384 divisors, whose sum is σ = 3468857736960. Its totient is φ = 375091200000.

The previous prime is 1215315002437. The next prime is 1215315002459. The reversal of 1215315002440 is 442005135121.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1215315002399 and 1215315002408.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2049434784 + ... + 2049435376.

It is an arithmetic number, because the mean of its divisors is an integer number (9033483690).

Almost surely, 2^{1215315002440} is an apocalyptic number.

1215315002440 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 1215315002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734428868480).

1215315002440 is an abundant number, since it is smaller than the sum of its proper divisors (2253542734520).

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

1215315002440 is a wasteful number, since it uses less digits than its factorization.

1215315002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 1215315002440 in words is "one trillion, two hundred fifteen billion, three hundred fifteen million, two thousand, four hundred forty".