445342231242400 has 36 divisors (see below), whose sum is σ = 1087191722022462. Its totient is φ = 178136892496640.

The previous prime is 445342231242317. The next prime is 445342231242409. The reversal of 445342231242400 is 4242132243544.

It can be written as a sum of positive squares in 3 ways, for example, as 425876028391696 + 19466202850704 = 20636764^2 + 4412052^2 .

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 (445342231242409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278338893727 + ... + 278338895326.

Almost surely, 2^{445342231242400} is an apocalyptic number.

445342231242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445342231242400 is an abundant number, since it is smaller than the sum of its proper divisors (641849490780062).

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

445342231242400 is a wasteful number, since it uses less digits than its factorization.

445342231242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556677789073 (or 556677789060 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 445342231242400 its reverse (4242132243544), we get a palindrome (449584363485944).

The spelling of 445342231242400 in words is "four hundred forty-five trillion, three hundred forty-two billion, two hundred thirty-one million, two hundred forty-two thousand, four hundred".