42479400960 has 288 divisors, whose sum is σ = 148908942000. Its totient is φ = 11198398464.

The previous prime is 42479400923. The next prime is 42479400961. The reversal of 42479400960 is 6900497424.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42479400961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8199651 + ... + 8204829.

Almost surely, 2^42479400960 is an apocalyptic number.

42479400960 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 42479400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74454471000).

42479400960 is an abundant number, since it is smaller than the sum of its proper divisors (106429541040).

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

42479400960 is a wasteful number, since it uses less digits than its factorization.

42479400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5301 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 42479400960 in words is "forty-two billion, four hundred seventy-nine million, four hundred thousand, nine hundred sixty".