1409581008000 has 1024 divisors, whose sum is σ = 5817758169600. Its totient is φ = 332439552000.

The previous prime is 1409581007911. The next prime is 1409581008029. The reversal of 1409581008000 is 8001859041.

It is a super-2 number, since 2×1409581008000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175819992 + ... + 175828008.

Almost surely, 2^{1409581008000} is an apocalyptic number.

1409581008000 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 1409581008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908879084800).

1409581008000 is an abundant number, since it is smaller than the sum of its proper divisors (4408177161600).

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

1409581008000 is a wasteful number, since it uses less digits than its factorization.

1409581008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1409581008000 in words is "one trillion, four hundred nine billion, five hundred eighty-one million, eight thousand".