42013225400 has 192 divisors, whose sum is σ = 105838850880. Its totient is φ = 15451545600.

The previous prime is 42013225367. The next prime is 42013225409. The reversal of 42013225400 is 452231024.

It is a happy number.

42013225400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42013225400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013225409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34635194 + ... + 34636406.

It is an arithmetic number, because the mean of its divisors is an integer number (551244015).

Almost surely, 2^42013225400 is an apocalyptic number.

42013225400 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 42013225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52919425440).

42013225400 is an abundant number, since it is smaller than the sum of its proper divisors (63825625480).

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

42013225400 is a wasteful number, since it uses less digits than its factorization.

42013225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 42013225400 its reverse (452231024), we get a palindrome (42465456424).

The spelling of 42013225400 in words is "forty-two billion, thirteen million, two hundred twenty-five thousand, four hundred".