40512438120 has 512 divisors, whose sum is σ = 157908787200. Its totient is φ = 8070451200.

The previous prime is 40512438107. The next prime is 40512438173. The reversal of 40512438120 is 2183421504.

It is a super-3 number, since 3×40512438120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24272646 + ... + 24274314.

It is an arithmetic number, because the mean of its divisors is an integer number (308415600).

Almost surely, 2^40512438120 is an apocalyptic number.

40512438120 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 40512438120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78954393600).

40512438120 is an abundant number, since it is smaller than the sum of its proper divisors (117396349080).

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

40512438120 is a wasteful number, since it uses less digits than its factorization.

40512438120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 40512438120 its reverse (2183421504), we get a palindrome (42695859624).

The spelling of 40512438120 in words is "forty billion, five hundred twelve million, four hundred thirty-eight thousand, one hundred twenty".