42442020224400 has 120 divisors (see below), whose sum is σ = 135963023952384. Its totient is φ = 11317282188800.

The previous prime is 42442020224389. The next prime is 42442020224431. The reversal of 42442020224400 is 442202024424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

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, 22357222 + ... + 24181178.

Almost surely, 2^{42442020224400} is an apocalyptic number.

42442020224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442020224400 is an abundant number, since it is smaller than the sum of its proper divisors (93521003727984).

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

42442020224400 is a wasteful number, since it uses less digits than its factorization.

42442020224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843369 (or 1843358 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 42442020224400 its reverse (442202024424), we get a palindrome (42884222248824).

The spelling of 42442020224400 in words is "forty-two trillion, four hundred forty-two billion, twenty million, two hundred twenty-four thousand, four hundred".