40345321120 has 96 divisors (see below), whose sum is σ = 103556798352. Its totient is φ = 14764818432.

The previous prime is 40345321117. The next prime is 40345321129. The reversal of 40345321120 is 2112354304.

It can be written as a sum of positive squares in 8 ways, for example, as 1506371344 + 38838949776 = 38812^2 + 197076^2 .

It is not an unprimeable number, because it can be changed into a prime (40345321129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149214 + ... + 320866.

Almost surely, 2^40345321120 is an apocalyptic number.

40345321120 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 40345321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51778399176).

40345321120 is an abundant number, since it is smaller than the sum of its proper divisors (63211477232).

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

40345321120 is a wasteful number, since it uses less digits than its factorization.

40345321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171794 (or 171786 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 40345321120 its reverse (2112354304), we get a palindrome (42457675424).

The spelling of 40345321120 in words is "forty billion, three hundred forty-five million, three hundred twenty-one thousand, one hundred twenty".