42689040 has 80 divisors (see below), whose sum is σ = 140133888. Its totient is φ = 10713088.

The previous prime is 42689039. The next prime is 42689047. The reversal of 42689040 is 4098624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×42689040³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42688992 and 42689010.

It is not an unprimeable number, because it can be changed into a prime (42689047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152 + ... + 9311.

Almost surely, 2^42689040 is an apocalyptic number.

42689040 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 42689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70066944).

42689040 is an abundant number, since it is smaller than the sum of its proper divisors (97444848).

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

42689040 is a wasteful number, since it uses less digits than its factorization.

42689040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42689040 is about 6533.6850245478. The cubic root of 42689040 is about 349.4932530559.

The spelling of 42689040 in words is "forty-two million, six hundred eighty-nine thousand, forty".