42014560640 has 64 divisors (see below), whose sum is σ = 108167315760. Its totient is φ = 15513065472.

The previous prime is 42014560591. The next prime is 42014560657. The reversal of 42014560640 is 4606541024.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42014560597 and 42014560606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2516594 + ... + 2533233.

Almost surely, 2^42014560640 is an apocalyptic number.

42014560640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42014560640 is an abundant number, since it is smaller than the sum of its proper divisors (66152755120).

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

42014560640 is a wasteful number, since it uses less digits than its factorization.

42014560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049859 (or 5049847 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 42014560640 in words is "forty-two billion, fourteen million, five hundred sixty thousand, six hundred forty".