42145244400 has 240 divisors, whose sum is σ = 154429901568. Its totient is φ = 9624576000.

The previous prime is 42145244387. The next prime is 42145244419. The reversal of 42145244400 is 444254124.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17479195 + ... + 17481605.

Almost surely, 2^42145244400 is an apocalyptic number.

42145244400 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 42145244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77214950784).

42145244400 is an abundant number, since it is smaller than the sum of its proper divisors (112284657168).

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

42145244400 is a wasteful number, since it uses less digits than its factorization.

42145244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 42145244400 its reverse (444254124), we get a palindrome (42589498524).

The spelling of 42145244400 in words is "forty-two billion, one hundred forty-five million, two hundred forty-four thousand, four hundred".