42447104640 has 384 divisors, whose sum is σ = 153060710400. Its totient is φ = 10826956800.

The previous prime is 42447104633. The next prime is 42447104699. The reversal of 42447104640 is 4640174424.

42447104640 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 7 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42447104595 and 42447104604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15890505 + ... + 15893175.

It is an arithmetic number, because the mean of its divisors is an integer number (398595600).

Almost surely, 2^42447104640 is an apocalyptic number.

42447104640 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 42447104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76530355200).

42447104640 is an abundant number, since it is smaller than the sum of its proper divisors (110613605760).

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

42447104640 is a wasteful number, since it uses less digits than its factorization.

42447104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 42447104640 in words is "forty-two billion, four hundred forty-seven million, one hundred four thousand, six hundred forty".