42995145600 has 768 divisors, whose sum is σ = 180765216000. Its totient is φ = 9870336000.

The previous prime is 42995145559. The next prime is 42995145607. The reversal of 42995145600 is 654159924.

42995145600 is a `hidden beast` number, since 4 + 29 + 9 + 5 + 14 + 5 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42995145607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18056410 + ... + 18058790.

It is an arithmetic number, because the mean of its divisors is an integer number (235371375).

Almost surely, 2^42995145600 is an apocalyptic number.

42995145600 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 42995145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90382608000).

42995145600 is an abundant number, since it is smaller than the sum of its proper divisors (137770070400).

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

42995145600 is a wasteful number, since it uses less digits than its factorization.

42995145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 42995145600 in words is "forty-two billion, nine hundred ninety-five million, one hundred forty-five thousand, six hundred".