42719904 has 144 divisors (see below), whose sum is σ = 131957280. Its totient is φ = 13063680.

The previous prime is 42719899. The next prime is 42719917. The reversal of 42719904 is 40991724.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202359 + ... + 202569.

It is an arithmetic number, because the mean of its divisors is an integer number (916370).

Almost surely, 2^42719904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42719904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65978640).

42719904 is an abundant number, since it is smaller than the sum of its proper divisors (89237376).

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

42719904 is a wasteful number, since it uses less digits than its factorization.

42719904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42719904 is about 6536.0465114624. The cubic root of 42719904 is about 349.5774601593.

The spelling of 42719904 in words is "forty-two million, seven hundred nineteen thousand, nine hundred four".