1581380159040 has 448 divisors, whose sum is σ = 6161082359040. Its totient is φ = 383363020800.

The previous prime is 1581380159039. The next prime is 1581380159071. The reversal of 1581380159040 is 409510831851.

1581380159040 is a `hidden beast` number, since 1 + 5 + 8 + 13 + 8 + 0 + 1 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7595530 + ... + 7800950.

It is an arithmetic number, because the mean of its divisors is an integer number (13752415980).

Almost surely, 2^{1581380159040} is an apocalyptic number.

1581380159040 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 1581380159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080541179520).

1581380159040 is an abundant number, since it is smaller than the sum of its proper divisors (4579702200000).

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

1581380159040 is an equidigital number, since it uses as much as digits as its factorization.

1581380159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205470 (or 205442 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1581380159040 in words is "one trillion, five hundred eighty-one billion, three hundred eighty million, one hundred fifty-nine thousand, forty".