42955776000 has 672 divisors, whose sum is σ = 159478675200. Its totient is φ = 11118182400.

The previous prime is 42955775981. The next prime is 42955776011. The reversal of 42955776000 is 67755924.

42955776000 is a `hidden beast` number, since 4 + 29 + 557 + 76 + 0 + 0 + 0 = 666.

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

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, 543743961 + ... + 543744039.

Almost surely, 2^42955776000 is an apocalyptic number.

42955776000 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 42955776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79739337600).

42955776000 is an abundant number, since it is smaller than the sum of its proper divisors (116522899200).

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

42955776000 is an equidigital number, since it uses as much as digits as its factorization.

42955776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 42955776000 in words is "forty-two billion, nine hundred fifty-five million, seven hundred seventy-six thousand".