1915984026240 has 256 divisors, whose sum is σ = 6469123968000. Its totient is φ = 480675299328.

The previous prime is 1915984026221. The next prime is 1915984026269. The reversal of 1915984026240 is 426204895191.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 88737366 + ... + 88758954.

It is an arithmetic number, because the mean of its divisors is an integer number (25270015500).

Almost surely, 2^{1915984026240} is an apocalyptic number.

1915984026240 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 1915984026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234561984000).

1915984026240 is an abundant number, since it is smaller than the sum of its proper divisors (4553139941760).

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

1915984026240 is a wasteful number, since it uses less digits than its factorization.

1915984026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24347 (or 24335 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 1915984026240 in words is "one trillion, nine hundred fifteen billion, nine hundred eighty-four million, twenty-six thousand, two hundred forty".