42651840 has 224 divisors, whose sum is σ = 169127424. Its totient is φ = 8847360.

The previous prime is 42651823. The next prime is 42651841. The reversal of 42651840 is 4815624.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 42651798 and 42651807.

It is not an unprimeable number, because it can be changed into a prime (42651841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73632 + ... + 74208.

Almost surely, 2^42651840 is an apocalyptic number.

42651840 is a gapful number since it is divisible by the number (40) 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 42651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84563712).

42651840 is an abundant number, since it is smaller than the sum of its proper divisors (126475584).

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

42651840 is a wasteful number, since it uses less digits than its factorization.

42651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42651840 is about 6530.8376185601. The cubic root of 42651840 is about 349.3917053103.

It can be divided in two parts, 4265 and 1840, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 42651840 in words is "forty-two million, six hundred fifty-one thousand, eight hundred forty".