42000400024 has 48 divisors (see below), whose sum is σ = 89545654800. Its totient is φ = 18432765120.

The previous prime is 42000399953. The next prime is 42000400037.

42000400024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42000399980 and 42000400007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720012 + ... + 776155.

It is an arithmetic number, because the mean of its divisors is an integer number (1865534475).

Almost surely, 2^42000400024 is an apocalyptic number.

42000400024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42000400024 is an abundant number, since it is smaller than the sum of its proper divisors (47545254776).

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

42000400024 is a wasteful number, since it uses less digits than its factorization.

42000400024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496224 (or 1496209 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The spelling of 42000400024 in words is "forty-two billion, four hundred thousand, twenty-four".