42717102400 has 126 divisors (see below), whose sum is σ = 122271936558. Its totient is φ = 14645836800.

The previous prime is 42717102361. The next prime is 42717102401. The reversal of 42717102400 is 420171724.

It can be written as a sum of positive squares in 3 ways, for example, as 86415616 + 42630686784 = 9296^2 + 206472^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42717102401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 194031 + ... + 350830.

Almost surely, 2^42717102400 is an apocalyptic number.

42717102400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42717102400 is an abundant number, since it is smaller than the sum of its proper divisors (79554834158).

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

42717102400 is a wasteful number, since it uses less digits than its factorization.

42717102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544897 (or 544875 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The spelling of 42717102400 in words is "forty-two billion, seven hundred seventeen million, one hundred two thousand, four hundred".