42412134400 has 156 divisors (see below), whose sum is σ = 110709556000. Its totient is φ = 16071229440.

The previous prime is 42412134379. The next prime is 42412134431. The reversal of 42412134400 is 443121424.

42412134400 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 (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1934701 + ... + 1956499.

Almost surely, 2^42412134400 is an apocalyptic number.

42412134400 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 42412134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55354778000).

42412134400 is an abundant number, since it is smaller than the sum of its proper divisors (68297421600).

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

42412134400 is a wasteful number, since it uses less digits than its factorization.

42412134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21852 (or 21825 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42412134400 its reverse (443121424), we get a palindrome (42855255824).

The spelling of 42412134400 in words is "forty-two billion, four hundred twelve million, one hundred thirty-four thousand, four hundred".