42951225600 has 324 divisors, whose sum is σ = 155520601600. Its totient is φ = 11307479040.

The previous prime is 42951225571. The next prime is 42951225601. The reversal of 42951225600 is 652215924.

42951225600 is a `hidden beast` number, since 4 + 2 + 95 + 1 + 2 + 2 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42951225601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4545681 + ... + 4555119.

Almost surely, 2^42951225600 is an apocalyptic number.

42951225600 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 42951225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760300800).

42951225600 is an abundant number, since it is smaller than the sum of its proper divisors (112569376000).

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

42951225600 is a wasteful number, since it uses less digits than its factorization.

42951225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 42951225600 in words is "forty-two billion, nine hundred fifty-one million, two hundred twenty-five thousand, six hundred".