40330442144520 has 768 divisors, whose sum is σ = 146346310656000. Its totient is φ = 9550776268800.

The previous prime is 40330442144501. The next prime is 40330442144537. The reversal of 40330442144520 is 2544124403304.

40330442144520 is a `hidden beast` number, since 4 + 0 + 3 + 30 + 44 + 21 + 44 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11963938435 + ... + 11963941805.

It is an arithmetic number, because the mean of its divisors is an integer number (190555092000).

Almost surely, 2^{40330442144520} is an apocalyptic number.

40330442144520 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 40330442144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73173155328000).

40330442144520 is an abundant number, since it is smaller than the sum of its proper divisors (106015868511480).

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

40330442144520 is a wasteful number, since it uses less digits than its factorization.

40330442144520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 40330442144520 its reverse (2544124403304), we get a palindrome (42874566547824).

The spelling of 40330442144520 in words is "forty trillion, three hundred thirty billion, four hundred forty-two million, one hundred forty-four thousand, five hundred twenty".