42624484040480 has 96 divisors (see below), whose sum is σ = 101436964977600. Its totient is φ = 16925104069632.

The previous prime is 42624484040423. The next prime is 42624484040491. The reversal of 42624484040480 is 8404048442624.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192688019 + ... + 192909101.

It is an arithmetic number, because the mean of its divisors is an integer number (1056635051850).

Almost surely, 2^{42624484040480} is an apocalyptic number.

42624484040480 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 42624484040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50718482488800).

42624484040480 is an abundant number, since it is smaller than the sum of its proper divisors (58812480937120).

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

42624484040480 is a wasteful number, since it uses less digits than its factorization.

42624484040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229906 (or 229898 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 50.

The spelling of 42624484040480 in words is "forty-two trillion, six hundred twenty-four billion, four hundred eighty-four million, forty thousand, four hundred eighty".