1915984128240 has 1600 divisors, whose sum is σ = 8744110341120. Its totient is φ = 377308938240.

The previous prime is 1915984128239. The next prime is 1915984128263. The reversal of 1915984128240 is 428214895191.

1915984128240 is a `hidden beast` number, since 1 + 9 + 1 + 598 + 4 + 1 + 2 + 8 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1313216631 + ... + 1313218089.

Almost surely, 2^{1915984128240} is an apocalyptic number.

1915984128240 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 1915984128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372055170560).

1915984128240 is an abundant number, since it is smaller than the sum of its proper divisors (6828126212880).

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

1915984128240 is a wasteful number, since it uses less digits than its factorization.

1915984128240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1915984128240 in words is "one trillion, nine hundred fifteen billion, nine hundred eighty-four million, one hundred twenty-eight thousand, two hundred forty".