42446242400 has 144 divisors (see below), whose sum is σ = 109653481728. Its totient is φ = 16011072000.

The previous prime is 42446242351. The next prime is 42446242409. The reversal of 42446242400 is 424264424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42446242409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290155 + ... + 1322645.

It is an arithmetic number, because the mean of its divisors is an integer number (761482512).

Almost surely, 2^42446242400 is an apocalyptic number.

42446242400 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 42446242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54826740864).

42446242400 is an abundant number, since it is smaller than the sum of its proper divisors (67207239328).

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

42446242400 is a wasteful number, since it uses less digits than its factorization.

42446242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32605 (or 32592 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The spelling of 42446242400 in words is "forty-two billion, four hundred forty-six million, two hundred forty-two thousand, four hundred".