42475466880 has 768 divisors, whose sum is σ = 189691407360. Its totient is φ = 8823582720.

The previous prime is 42475466863. The next prime is 42475466897. The reversal of 42475466880 is 8866457424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42475466863) and next prime (42475466897).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11973267 + ... + 11976813.

It is an arithmetic number, because the mean of its divisors is an integer number (246994020).

Almost surely, 2^42475466880 is an apocalyptic number.

42475466880 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 42475466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94845703680).

42475466880 is an abundant number, since it is smaller than the sum of its proper divisors (147215940480).

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

42475466880 is a wasteful number, since it uses less digits than its factorization.

42475466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 42475466880 in words is "forty-two billion, four hundred seventy-five million, four hundred sixty-six thousand, eight hundred eighty".