42978945600 has 672 divisors, whose sum is σ = 164484710400. Its totient is φ = 10902988800.

The previous prime is 42978945593. The next prime is 42978945613. The reversal of 42978945600 is 654987924.

42978945600 is a `hidden beast` number, since 4 + 2 + 9 + 78 + 9 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89726161 + ... + 89726639.

Almost surely, 2^42978945600 is an apocalyptic number.

42978945600 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 42978945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82242355200).

42978945600 is an abundant number, since it is smaller than the sum of its proper divisors (121505764800).

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

42978945600 is a wasteful number, since it uses less digits than its factorization.

42978945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 42978945600 in words is "forty-two billion, nine hundred seventy-eight million, nine hundred forty-five thousand, six hundred".