42641016 has 64 divisors (see below), whose sum is σ = 122428800. Its totient is φ = 12240000.

The previous prime is 42641009. The next prime is 42641017. The reversal of 42641016 is 61014624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42641017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766 + ... + 9266.

It is an arithmetic number, because the mean of its divisors is an integer number (1912950).

Almost surely, 2^42641016 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 42641016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61214400).

42641016 is an abundant number, since it is smaller than the sum of its proper divisors (79787784).

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

42641016 is a wasteful number, since it uses less digits than its factorization.

42641016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8540 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 42641016 is about 6530.0088820767. The cubic root of 42641016 is about 349.3621471031.

It can be divided in two parts, 426410 and 16, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 42641016 in words is "forty-two million, six hundred forty-one thousand, sixteen".