42329550900 has 576 divisors, whose sum is σ = 160834150400. Its totient is φ = 8345825280.

The previous prime is 42329550883. The next prime is 42329550917. The reversal of 42329550900 is 905592324.

It is an interprime number because it is at equal distance from previous prime (42329550883) and next prime (42329550917).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40976784 + ... + 40977816.

Almost surely, 2^42329550900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42329550900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80417075200).

42329550900 is an abundant number, since it is smaller than the sum of its proper divisors (118504599500).

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

42329550900 is a wasteful number, since it uses less digits than its factorization.

42329550900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 42329550900 in words is "forty-two billion, three hundred twenty-nine million, five hundred fifty thousand, nine hundred".