42050402400 has 144 divisors (see below), whose sum is σ = 136941235200. Its totient is φ = 11207938560.

The previous prime is 42050402389. The next prime is 42050402417. The reversal of 42050402400 is 420405024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7962961 + ... + 7968239.

It is an arithmetic number, because the mean of its divisors is an integer number (950980800).

Almost surely, 2^42050402400 is an apocalyptic number.

42050402400 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 42050402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470617600).

42050402400 is an abundant number, since it is smaller than the sum of its proper divisors (94890832800).

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

42050402400 is a wasteful number, since it uses less digits than its factorization.

42050402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8621 (or 8608 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 42050402400 its reverse (420405024), we get a palindrome (42470807424).

The spelling of 42050402400 in words is "forty-two billion, fifty million, four hundred two thousand, four hundred".