40003314120 has 384 divisors, whose sum is σ = 164053693440. Its totient is φ = 8211755520.

The previous prime is 40003314119. The next prime is 40003314163. The reversal of 40003314120 is 2141330004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40003314093 and 40003314102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2292067 + ... + 2309453.

It is an arithmetic number, because the mean of its divisors is an integer number (427223160).

Almost surely, 2^40003314120 is an apocalyptic number.

40003314120 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 40003314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026846720).

40003314120 is an abundant number, since it is smaller than the sum of its proper divisors (124050379320).

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

40003314120 is a wasteful number, since it uses less digits than its factorization.

40003314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17505 (or 17498 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 40003314120 its reverse (2141330004), we get a palindrome (42144644124).

The spelling of 40003314120 in words is "forty billion, three million, three hundred fourteen thousand, one hundred twenty".