42964084800 has 840 divisors, whose sum is σ = 194422792256. Its totient is φ = 9062461440.

The previous prime is 42964084783. The next prime is 42964084829. The reversal of 42964084800 is 848046924.

42964084800 is a `hidden beast` number, since 42 + 96 + 40 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11791779 + ... + 11795421.

Almost surely, 2^42964084800 is an apocalyptic number.

42964084800 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 42964084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97211396128).

42964084800 is an abundant number, since it is smaller than the sum of its proper divisors (151458707456).

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

42964084800 is a wasteful number, since it uses less digits than its factorization.

42964084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 42964084800 in words is "forty-two billion, nine hundred sixty-four million, eighty-four thousand, eight hundred".