42613325400 has 768 divisors, whose sum is σ = 156589977600. Its totient is φ = 9510912000.

The previous prime is 42613325387. The next prime is 42613325407. The reversal of 42613325400 is 452331624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42613325407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246319714 + ... + 246319886.

It is an arithmetic number, because the mean of its divisors is an integer number (203893200).

Almost surely, 2^42613325400 is an apocalyptic number.

42613325400 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 42613325400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78294988800).

42613325400 is an abundant number, since it is smaller than the sum of its proper divisors (113976652200).

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

42613325400 is a wasteful number, since it uses less digits than its factorization.

42613325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 42613325400 in words is "forty-two billion, six hundred thirteen million, three hundred twenty-five thousand, four hundred".