42121424400 has 120 divisors (see below), whose sum is σ = 147195278304. Its totient is φ = 10211251200.

The previous prime is 42121424383. The next prime is 42121424447. The reversal of 42121424400 is 442412124.

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

It is a super-3 number, since 3×42121424400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 1582309 + ... + 1608708.

Almost surely, 2^42121424400 is an apocalyptic number.

42121424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42121424400 is an abundant number, since it is smaller than the sum of its proper divisors (105073853904).

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

42121424400 is a wasteful number, since it uses less digits than its factorization.

42121424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191049 (or 3191038 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42121424400 its reverse (442412124), we get a palindrome (42563836524).

The spelling of 42121424400 in words is "forty-two billion, one hundred twenty-one million, four hundred twenty-four thousand, four hundred".