42460436480 has 480 divisors, whose sum is σ = 130483800720. Its totient is φ = 13150126080.

The previous prime is 42460436467. The next prime is 42460436503. The reversal of 42460436480 is 8463406424.

It is a super-2 number, since 2×42460436480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270448562 + ... + 270448718.

Almost surely, 2^42460436480 is an apocalyptic number.

42460436480 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 42460436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65241900360).

42460436480 is an abundant number, since it is smaller than the sum of its proper divisors (88023364240).

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

42460436480 is an equidigital number, since it uses as much as digits as its factorization.

42460436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 41.

The spelling of 42460436480 in words is "forty-two billion, four hundred sixty million, four hundred thirty-six thousand, four hundred eighty".