42177540 has 48 divisors (see below), whose sum is σ = 119331072. Its totient is φ = 11129856.

The previous prime is 42177533. The next prime is 42177557. The reversal of 42177540 is 4577124.

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 = 42177498 and 42177507.

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, 2197 + ... + 9443.

It is an arithmetic number, because the mean of its divisors is an integer number (2486064).

Almost surely, 2^42177540 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 42177540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59665536).

42177540 is an abundant number, since it is smaller than the sum of its proper divisors (77153532).

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

42177540 is a wasteful number, since it uses less digits than its factorization.

42177540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 42177540 is about 6494.4237619669. The cubic root of 42177540 is about 348.0917646760.

The spelling of 42177540 in words is "forty-two million, one hundred seventy-seven thousand, five hundred forty".