445561098240 has 208 divisors, whose sum is σ = 1430974252800. Its totient is φ = 118370205696.

The previous prime is 445561098217. The next prime is 445561098251. The reversal of 445561098240 is 42890165544.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 445561098240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16513881 + ... + 16540839.

Almost surely, 2^445561098240 is an apocalyptic number.

445561098240 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 445561098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715487126400).

445561098240 is an abundant number, since it is smaller than the sum of its proper divisors (985413154560).

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

445561098240 is a wasteful number, since it uses less digits than its factorization.

445561098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27260 (or 27238 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 445561098240 in words is "four hundred forty-five billion, five hundred sixty-one million, ninety-eight thousand, two hundred forty".