42007440480 has 96 divisors (see below), whose sum is σ = 139287859200. Its totient is φ = 10612403712.

The previous prime is 42007440469. The next prime is 42007440529. The reversal of 42007440480 is 8404470024.

42007440480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 2293920 + ... + 2312159.

It is an arithmetic number, because the mean of its divisors is an integer number (1450915200).

Almost surely, 2^42007440480 is an apocalyptic number.

42007440480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42007440480 is an abundant number, since it is smaller than the sum of its proper divisors (97280418720).

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

42007440480 is a wasteful number, since it uses less digits than its factorization.

42007440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606116 (or 4606108 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The spelling of 42007440480 in words is "forty-two billion, seven million, four hundred forty thousand, four hundred eighty".