42599040 has 128 divisors (see below), whose sum is σ = 148201920. Its totient is φ = 10321920.

The previous prime is 42599023. The next prime is 42599071. The reversal of 42599040 is 4099524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42598992 and 42599010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20112 + ... + 22128.

Almost surely, 2^42599040 is an apocalyptic number.

42599040 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 42599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74100960).

42599040 is an abundant number, since it is smaller than the sum of its proper divisors (105602880).

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

42599040 is a wasteful number, since it uses less digits than its factorization.

42599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 42599040 is about 6526.7940062484. The cubic root of 42599040 is about 349.2474715979.

The spelling of 42599040 in words is "forty-two million, five hundred ninety-nine thousand, forty".