40103520 has 192 divisors, whose sum is σ = 135717120. Its totient is φ = 9934848.

The previous prime is 40103519. The next prime is 40103521. The reversal of 40103520 is 2530104.

40103520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40103519) and next prime (40103521).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40103520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40103521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598527 + ... + 598593.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 2^40103520 is an apocalyptic number.

40103520 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 40103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67858560).

40103520 is an abundant number, since it is smaller than the sum of its proper divisors (95613600).

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

40103520 is a wasteful number, since it uses less digits than its factorization.

40103520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40103520 is about 6332.7340067304. The cubic root of 40103520 is about 342.2899630399.

Adding to 40103520 its reverse (2530104), we get a palindrome (42633624).

The spelling of 40103520 in words is "forty million, one hundred three thousand, five hundred twenty".