42042604240 has 320 divisors, whose sum is σ = 124864008192. Its totient is φ = 12806553600.

The previous prime is 42042604223. The next prime is 42042604259. The reversal of 42042604240 is 4240624024.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42042604199 and 42042604208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54388494 + ... + 54389266.

Almost surely, 2^42042604240 is an apocalyptic number.

42042604240 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 42042604240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62432004096).

42042604240 is an abundant number, since it is smaller than the sum of its proper divisors (82821403952).

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

42042604240 is a wasteful number, since it uses less digits than its factorization.

42042604240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The spelling of 42042604240 in words is "forty-two billion, forty-two million, six hundred four thousand, two hundred forty".