40331520 has 180 divisors, whose sum is σ = 144684540. Its totient is φ = 10727424.

The previous prime is 40331483. The next prime is 40331539. The reversal of 40331520 is 2513304.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 28387584 = 3456^2 + 5328^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 40331493 and 40331502.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103486 + ... + 103874.

It is an arithmetic number, because the mean of its divisors is an integer number (803803).

Almost surely, 2^40331520 is an apocalyptic number.

40331520 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 40331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72342270).

40331520 is an abundant number, since it is smaller than the sum of its proper divisors (104353020).

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

40331520 is an equidigital number, since it uses as much as digits as its factorization.

40331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40331520 is about 6350.7101965056. The cubic root of 40331520 is about 342.9374097785.

Adding to 40331520 its reverse (2513304), we get a palindrome (42844824).

The spelling of 40331520 in words is "forty million, three hundred thirty-one thousand, five hundred twenty".