42411424045320 has 768 divisors, whose sum is σ = 156883562035200. Its totient is φ = 10219305461760.

The previous prime is 42411424045183. The next prime is 42411424045321. The reversal of 42411424045320 is 2354042411424.

42411424045320 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 142 + 40 + 453 + 20 = 666.

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 (42411424045321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20800108861 + ... + 20800110899.

It is an arithmetic number, because the mean of its divisors is an integer number (204275471400).

Almost surely, 2^{42411424045320} is an apocalyptic number.

42411424045320 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 42411424045320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78441781017600).

42411424045320 is an abundant number, since it is smaller than the sum of its proper divisors (114472137989880).

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

42411424045320 is a wasteful number, since it uses less digits than its factorization.

42411424045320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 42411424045320 its reverse (2354042411424), we get a palindrome (44765466456744).

The spelling of 42411424045320 in words is "forty-two trillion, four hundred eleven billion, four hundred twenty-four million, forty-five thousand, three hundred twenty".