42681408 has 112 divisors (see below), whose sum is σ = 140841984. Its totient is φ = 11082240.

The previous prime is 42681383. The next prime is 42681427. The reversal of 42681408 is 80418624.

It is a tau number, because it is divible by the number of its divisors (112).

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

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, 13341 + ... + 16227.

Almost surely, 2^42681408 is an apocalyptic number.

42681408 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 42681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70420992).

42681408 is an abundant number, since it is smaller than the sum of its proper divisors (98160576).

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

42681408 is a wasteful number, since it uses less digits than its factorization.

42681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42681408 is about 6533.1009482481. The cubic root of 42681408 is about 349.4724242008.

The spelling of 42681408 in words is "forty-two million, six hundred eighty-one thousand, four hundred eight".