1015728769440 has 1296 divisors, whose sum is σ = 4458443109120. Its totient is φ = 209802700800.

The previous prime is 1015728769403. The next prime is 1015728769457. The reversal of 1015728769440 is 449678275101.

1015728769440 is a `hidden beast` number, since 1 + 0 + 1 + 572 + 8 + 7 + 69 + 4 + 4 + 0 = 666.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 2313732741 + ... + 2313733179.

It is an arithmetic number, because the mean of its divisors is an integer number (3440156720).

Almost surely, 2^{1015728769440} is an apocalyptic number.

1015728769440 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 1015728769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229221554560).

1015728769440 is an abundant number, since it is smaller than the sum of its proper divisors (3442714339680).

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

1015728769440 is a wasteful number, since it uses less digits than its factorization.

1015728769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1015728769440 in words is "one trillion, fifteen billion, seven hundred twenty-eight million, seven hundred sixty-nine thousand, four hundred forty".