446071490640 has 200 divisors, whose sum is σ = 1550085896040. Its totient is φ = 118889938944.

The previous prime is 446071490639. The next prime is 446071490723. The reversal of 446071490640 is 46094170644.

446071490640 is a `hidden beast` number, since 4 + 460 + 7 + 149 + 0 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39175493184 + 406895997456 = 197928^2 + 637884^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13053096 + ... + 13087224.

Almost surely, 2^446071490640 is an apocalyptic number.

446071490640 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 446071490640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775042948020).

446071490640 is an abundant number, since it is smaller than the sum of its proper divisors (1104014405400).

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

446071490640 is a wasteful number, since it uses less digits than its factorization.

446071490640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36171 (or 36156 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 446071490640 in words is "four hundred forty-six billion, seventy-one million, four hundred ninety thousand, six hundred forty".