42479124480 has 456 divisors, whose sum is σ = 159160950312. Its totient is φ = 10418651136.

The previous prime is 42479124451. The next prime is 42479124497. The reversal of 42479124480 is 8442197424.

42479124480 is a `hidden beast` number, since 4 + 2 + 47 + 9 + 124 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115605504 + 42363518976 = 10752^2 + 205824^2 .

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 23 ways as a sum of consecutive naturals, for example, 153354102 + ... + 153354378.

Almost surely, 2^42479124480 is an apocalyptic number.

42479124480 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 42479124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79580475156).

42479124480 is an abundant number, since it is smaller than the sum of its proper divisors (116681825832).

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

42479124480 is an equidigital number, since it uses as much as digits as its factorization.

42479124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42479124480 in words is "forty-two billion, four hundred seventy-nine million, one hundred twenty-four thousand, four hundred eighty".