445097961000 has 768 divisors, whose sum is σ = 1986039544320. Its totient is φ = 87045120000.

The previous prime is 445097960999. The next prime is 445097961013. The reversal of 445097961000 is 169790544.

445097961000 is a `hidden beast` number, since 4 + 450 + 9 + 7 + 96 + 100 + 0 = 666.

It is a super-2 number, since 2×445097961000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11762110 + ... + 11799890.

It is an arithmetic number, because the mean of its divisors is an integer number (2585988990).

Almost surely, 2^445097961000 is an apocalyptic number.

445097961000 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 445097961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993019772160).

445097961000 is an abundant number, since it is smaller than the sum of its proper divisors (1540941583320).

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

445097961000 is a wasteful number, since it uses less digits than its factorization.

445097961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37843 (or 37826 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 445097961000 in words is "four hundred forty-five billion, ninety-seven million, nine hundred sixty-one thousand".