42409825600 has 84 divisors (see below), whose sum is σ = 104938372800. Its totient is φ = 16869045760.

The previous prime is 42409825567. The next prime is 42409825607. The reversal of 42409825600 is 652890424.

42409825600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42409825607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212361 + ... + 360439.

Almost surely, 2^42409825600 is an apocalyptic number.

42409825600 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 42409825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52469186400).

42409825600 is an abundant number, since it is smaller than the sum of its proper divisors (62528547200).

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

42409825600 is a wasteful number, since it uses less digits than its factorization.

42409825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148280 (or 148265 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 42409825600 in words is "forty-two billion, four hundred nine million, eight hundred twenty-five thousand, six hundred".