42441670656000 has 3648 divisors, whose sum is σ = 201396672172800. Its totient is φ = 8719958016000.

The previous prime is 42441670655999. The next prime is 42441670656031. The reversal of 42441670656000 is 65607614424.

42441670656000 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 16 + 70 + 6 + 560 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 476872703956 + ... + 476872704044.

It is an arithmetic number, because the mean of its divisors is an integer number (55207421100).

Almost surely, 2^{42441670656000} is an apocalyptic number.

42441670656000 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 42441670656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100698336086400).

42441670656000 is an abundant number, since it is smaller than the sum of its proper divisors (158955001516800).

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

42441670656000 is an frugal number, since it uses more digits than its factorization.

42441670656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42441670656000 in words is "forty-two trillion, four hundred forty-one billion, six hundred seventy million, six hundred fifty-six thousand".