42917603400 has 576 divisors, whose sum is σ = 170286779520. Its totient is φ = 9483264000.

The previous prime is 42917603387. The next prime is 42917603401. The reversal of 42917603400 is 430671924.

42917603400 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 7 + 603 + 40 + 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 (42917603401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 61223050 + ... + 61223750.

It is an arithmetic number, because the mean of its divisors is an integer number (295636770).

Almost surely, 2^42917603400 is an apocalyptic number.

42917603400 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 42917603400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85143389760).

42917603400 is an abundant number, since it is smaller than the sum of its proper divisors (127369176120).

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

42917603400 is a wasteful number, since it uses less digits than its factorization.

42917603400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 42917603400 in words is "forty-two billion, nine hundred seventeen million, six hundred three thousand, four hundred".