1581416770440 has 256 divisors, whose sum is σ = 5184038361600. Its totient is φ = 383575449600.

The previous prime is 1581416770411. The next prime is 1581416770459. The reversal of 1581416770440 is 440776141851.

It is a self number, because there is not a number n which added to its sum of digits gives 1581416770440.

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 63 ways as a sum of consecutive naturals, for example, 303590556 + ... + 303595764.

It is an arithmetic number, because the mean of its divisors is an integer number (20250149850).

Almost surely, 2^{1581416770440} is an apocalyptic number.

1581416770440 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 1581416770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592019180800).

1581416770440 is an abundant number, since it is smaller than the sum of its proper divisors (3602621591160).

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

1581416770440 is a wasteful number, since it uses less digits than its factorization.

1581416770440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 1581416770440 in words is "one trillion, five hundred eighty-one billion, four hundred sixteen million, seven hundred seventy thousand, four hundred forty".