413587444000 has 96 divisors (see below), whose sum is σ = 1051225484400. Its totient is φ = 159730278400.

The previous prime is 413587443967. The next prime is 413587444001. The reversal of 413587444000 is 444785314.

It can be written as a sum of positive squares in 8 ways, for example, as 39723678864 + 373863765136 = 199308^2 + 611444^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (413587444001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666705 + ... + 1898704.

Almost surely, 2^413587444000 is an apocalyptic number.

413587444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413587444000 is an abundant number, since it is smaller than the sum of its proper divisors (637638040400).

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

413587444000 is a wasteful number, since it uses less digits than its factorization.

413587444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565463 (or 3565445 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 413587444000 in words is "four hundred thirteen billion, five hundred eighty-seven million, four hundred forty-four thousand".