42020310544000 has 256 divisors, whose sum is σ = 106829057930400. Its totient is φ = 16431363686400.

The previous prime is 42020310543989. The next prime is 42020310544021. The reversal of 42020310544000 is 44501302024.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 13706758725696 + 28313551818304 = 3702264^2 + 5321048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234806556 + ... + 234985444.

Almost surely, 2^{42020310544000} is an apocalyptic number.

42020310544000 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 42020310544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53414528965200).

42020310544000 is an abundant number, since it is smaller than the sum of its proper divisors (64808747386400).

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

42020310544000 is a wasteful number, since it uses less digits than its factorization.

42020310544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179248 (or 179226 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 42020310544000 its reverse (44501302024), we get a palindrome (42064811846024).

The spelling of 42020310544000 in words is "forty-two trillion, twenty billion, three hundred ten million, five hundred forty-four thousand".