445214442334000 has 160 divisors (see below), whose sum is σ = 1083069789257664. Its totient is φ = 177006397798400.

The previous prime is 445214442333949. The next prime is 445214442334037. The reversal of 445214442334000 is 433244412544.

It is a super-2 number, since 2×445214442334000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261509514 + ... + 263206486.

Almost surely, 2^{445214442334000} is an apocalyptic number.

445214442334000 is a gapful number since it is divisible by the number (40) 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 445214442334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541534894628832).

445214442334000 is an abundant number, since it is smaller than the sum of its proper divisors (637855346923664).

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

445214442334000 is a wasteful number, since it uses less digits than its factorization.

445214442334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697792 (or 1697776 counting only the distinct ones).

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

Adding to 445214442334000 its reverse (433244412544), we get a palindrome (445647686746544).

The spelling of 445214442334000 in words is "four hundred forty-five trillion, two hundred fourteen billion, four hundred forty-two million, three hundred thirty-four thousand".