42145488 has 240 divisors, whose sum is σ = 154365120. Its totient is φ = 10886400.

The previous prime is 42145483. The next prime is 42145489. The reversal of 42145488 is 88454124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42145483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232758 + ... + 232938.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 2^42145488 is an apocalyptic number.

42145488 is a gapful number since it is divisible by the number (48) 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 42145488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77182560).

42145488 is an abundant number, since it is smaller than the sum of its proper divisors (112219632).

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

42145488 is a wasteful number, since it uses less digits than its factorization.

42145488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 42145488 is about 6491.9556375564. The cubic root of 42145488 is about 348.0035671454.

It can be divided in two parts, 42 and 145488, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 42145488 in words is "forty-two million, one hundred forty-five thousand, four hundred eighty-eight".