42321893005440 has 160 divisors (see below), whose sum is σ = 151139121560460. Its totient is φ = 11285838120960.

The previous prime is 42321893005411. The next prime is 42321893005477. The reversal of 42321893005440 is 4450039812324.

42321893005440 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 18 + 93 + 0 + 0 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38188543777344 + 4133349228096 = 6179688^2 + 2033064^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×42321893005440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 408145431 + ... + 408249110.

Almost surely, 2^{42321893005440} is an apocalyptic number.

42321893005440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42321893005440 is an abundant number, since it is smaller than the sum of its proper divisors (108817228555020).

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

42321893005440 is an equidigital number, since it uses as much as digits as its factorization.

42321893005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816394572 (or 816394551 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42321893005440 in words is "forty-two trillion, three hundred twenty-one billion, eight hundred ninety-three million, five thousand, four hundred forty".