42024404004 has 72 divisors (see below), whose sum is σ = 107943327744. Its totient is φ = 12715560000.

The previous prime is 42024403969. The next prime is 42024404057. The reversal of 42024404004 is 40040442024.

It is a super-2 number, since 2×42024404004² (a number of 22 digits) contains 22 as substring.

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, 961629 + ... + 1004379.

Almost surely, 2^42024404004 is an apocalyptic number.

42024404004 is a gapful number since it is divisible by the number (44) 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 42024404004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53971663872).

42024404004 is an abundant number, since it is smaller than the sum of its proper divisors (65918923740).

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

42024404004 is a wasteful number, since it uses less digits than its factorization.

42024404004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43457 (or 43444 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42024404004 its reverse (40040442024), we get a palindrome (82064846028).

The spelling of 42024404004 in words is "forty-two billion, twenty-four million, four hundred four thousand, four".