42467328000 has 460 divisors, whose sum is σ = 158343345732. Its totient is φ = 11324620800.

The previous prime is 42467327999. The next prime is 42467328047. The reversal of 42467328000 is 82376424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (5!)² ⋅ (2!)¹².

It can be written as a sum of positive squares in 2 ways, for example, as 1358954496 + 41108373504 = 36864^2 + 202752^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8493465598 + ... + 8493465602.

Almost surely, 2^42467328000 is an apocalyptic number.

42467328000 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 42467328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79171672866).

42467328000 is an abundant number, since it is smaller than the sum of its proper divisors (115876017732).

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

42467328000 is an frugal number, since it uses more digits than its factorization.

42467328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 42467328000 by its sum of digits (36), we get a cube (1528823808000 = 11520³).

The spelling of 42467328000 in words is "forty-two billion, four hundred sixty-seven million, three hundred twenty-eight thousand".