42004980 has 168 divisors, whose sum is σ = 137350752. Its totient is φ = 10777536.

The previous prime is 42004979. The next prime is 42005053. The reversal of 42004980 is 8940024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 626907 + ... + 626973.

It is an arithmetic number, because the mean of its divisors is an integer number (817564).

Almost surely, 2^42004980 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 42004980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68675376).

42004980 is an abundant number, since it is smaller than the sum of its proper divisors (95345772).

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

42004980 is a wasteful number, since it uses less digits than its factorization.

42004980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42004980 is about 6481.1249023607. The cubic root of 42004980 is about 347.6164025272.

It can be divided in two parts, 4200 and 4980, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 42004980 in words is "forty-two million, four thousand, nine hundred eighty".