42691440 has 160 divisors (see below), whose sum is σ = 146704896. Its totient is φ = 10183680.

The previous prime is 42691417. The next prime is 42691469. The reversal of 42691440 is 4419624.

42691440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42691398 and 42691407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271842 + ... + 271998.

Almost surely, 2^42691440 is an apocalyptic number.

42691440 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 42691440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73352448).

42691440 is an abundant number, since it is smaller than the sum of its proper divisors (104013456).

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

42691440 is a wasteful number, since it uses less digits than its factorization.

42691440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42691440 is about 6533.8686855492. The cubic root of 42691440 is about 349.4998024972.

The spelling of 42691440 in words is "forty-two million, six hundred ninety-one thousand, four hundred forty".