42790464000 has 320 divisors, whose sum is σ = 158081489280. Its totient is φ = 11410329600.

The previous prime is 42790463993. The next prime is 42790464007. The reversal of 42790464000 is 46409724.

42790464000 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 0 + 4 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42790463993) and next prime (42790464007).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42790464007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1715619 + ... + 1740381.

It is an arithmetic number, because the mean of its divisors is an integer number (494004654).

Almost surely, 2^42790464000 is an apocalyptic number.

42790464000 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 42790464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79040744640).

42790464000 is an abundant number, since it is smaller than the sum of its proper divisors (115291025280).

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

42790464000 is an equidigital number, since it uses as much as digits as its factorization.

42790464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24805 (or 24773 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42790464000 in words is "forty-two billion, seven hundred ninety million, four hundred sixty-four thousand".