42064828240 has 80 divisors (see below), whose sum is σ = 98679969792. Its totient is φ = 16674964992.

The previous prime is 42064828153. The next prime is 42064828241. The reversal of 42064828240 is 4282846024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42064828193 and 42064828202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42064828241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12566247 + ... + 12569593.

Almost surely, 2^42064828240 is an apocalyptic number.

42064828240 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 42064828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49339984896).

42064828240 is an abundant number, since it is smaller than the sum of its proper divisors (56615141552).

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

42064828240 is a wasteful number, since it uses less digits than its factorization.

42064828240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4724 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 42064828240 in words is "forty-two billion, sixty-four million, eight hundred twenty-eight thousand, two hundred forty".