42465833280 has 672 divisors, whose sum is σ = 164211609600. Its totient is φ = 10325532672.

The previous prime is 42465833279. The next prime is 42465833299. The reversal of 42465833280 is 8233856424.

42465833280 is a `hidden beast` number, since 4 + 2 + 46 + 583 + 3 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 185440206 + ... + 185440434.

Almost surely, 2^42465833280 is an apocalyptic number.

42465833280 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 42465833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82105804800).

42465833280 is an abundant number, since it is smaller than the sum of its proper divisors (121745776320).

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

42465833280 is a wasteful number, since it uses less digits than its factorization.

42465833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 42465833280 in words is "forty-two billion, four hundred sixty-five million, eight hundred thirty-three thousand, two hundred eighty".