42390523348992 has 3024 divisors, whose sum is σ = 167992105865220. Its totient is φ = 10590735826944.

The previous prime is 42390523348951. The next prime is 42390523348993. The reversal of 42390523348992 is 29984332509324.

42390523348992 is a `hidden beast` number, since 4 + 2 + 3 + 90 + 52 + 334 + 89 + 92 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18804503725056 + 23586019623936 = 4336416^2 + 4856544^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42390523348993) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 799821195238 + ... + 799821195290.

Almost surely, 2^{42390523348992} is an apocalyptic number.

42390523348992 is a gapful number since it is divisible by the number (42) 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 42390523348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83996052932610).

42390523348992 is an abundant number, since it is smaller than the sum of its proper divisors (125601582516228).

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

42390523348992 is an equidigital number, since it uses as much as digits as its factorization.

42390523348992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 42390523348992 in words is "forty-two trillion, three hundred ninety billion, five hundred twenty-three million, three hundred forty-eight thousand, nine hundred ninety-two".