1563959143040 has 256 divisors, whose sum is σ = 4304252010240. Its totient is φ = 532301414400.

The previous prime is 1563959143031. The next prime is 1563959143051. The reversal of 1563959143040 is 403419593651.

It is a super-2 number, since 2×1563959143040² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1563959143040.

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, 409304330 + ... + 409308150.

It is an arithmetic number, because the mean of its divisors is an integer number (16813484415).

Almost surely, 2^{1563959143040} is an apocalyptic number.

1563959143040 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 1563959143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152126005120).

1563959143040 is an abundant number, since it is smaller than the sum of its proper divisors (2740292867200).

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

1563959143040 is a wasteful number, since it uses less digits than its factorization.

1563959143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 50.

The spelling of 1563959143040 in words is "one trillion, five hundred sixty-three billion, nine hundred fifty-nine million, one hundred forty-three thousand, forty".