445419000000 has 1372 divisors, whose sum is σ = 1821871054752. Its totient is φ = 107308800000.

The previous prime is 445418999981. The next prime is 445419000007. The reversal of 445419000000 is 914544.

It is a super-2 number, since 2×445419000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (445419000007) by changing a digit.

It is a polite number, since it can be written in 195 ways as a sum of consecutive naturals, for example, 9476999977 + ... + 9477000023.

Almost surely, 2^445419000000 is an apocalyptic number.

445419000000 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 445419000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910935527376).

445419000000 is an abundant number, since it is smaller than the sum of its proper divisors (1376452054752).

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

445419000000 is an frugal number, since it uses more digits than its factorization.

445419000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 445419000000 its reverse (914544), we get a palindrome (445419914544).

The spelling of 445419000000 in words is "four hundred forty-five billion, four hundred nineteen million", and thus it is an aban number.