40753152 has 192 divisors, whose sum is σ = 133660800. Its totient is φ = 12165120.

The previous prime is 40753151. The next prime is 40753159. The reversal of 40753152 is 25135704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×40753152³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40753151) 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, 608223 + ... + 608289.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^40753152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

40753152 is an abundant number, since it is smaller than the sum of its proper divisors (92907648).

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

40753152 is a wasteful number, since it uses less digits than its factorization.

40753152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40753152 is about 6383.8195463218. The cubic root of 40753152 is about 344.1283098061.

Adding to 40753152 its reverse (25135704), we get a palindrome (65888856).

It can be divided in two parts, 4075 and 3152, that added together give a palindrome (7227).

The spelling of 40753152 in words is "forty million, seven hundred fifty-three thousand, one hundred fifty-two".