42602464480 has 96 divisors (see below), whose sum is σ = 102529312704. Its totient is φ = 16725467136.

The previous prime is 42602464469. The next prime is 42602464501. The reversal of 42602464480 is 8446420624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 1850802 + ... + 1873678.

It is an arithmetic number, because the mean of its divisors is an integer number (1068013674).

Almost surely, 2^42602464480 is an apocalyptic number.

42602464480 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 42602464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51264656352).

42602464480 is an abundant number, since it is smaller than the sum of its proper divisors (59926848224).

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

42602464480 is a wasteful number, since it uses less digits than its factorization.

42602464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23108 (or 23100 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 42602464480 in words is "forty-two billion, six hundred two million, four hundred sixty-four thousand, four hundred eighty".