40653312 has 160 divisors (see below), whose sum is σ = 130944000. Its totient is φ = 10948608.

The previous prime is 40653289. The next prime is 40653323. The reversal of 40653312 is 21335604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204189 + ... + 204387.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 2^40653312 is an apocalyptic number.

40653312 is a gapful number since it is divisible by the number (42) 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 40653312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472000).

40653312 is an abundant number, since it is smaller than the sum of its proper divisors (90290688).

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

40653312 is a wasteful number, since it uses less digits than its factorization.

40653312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 40653312 is about 6375.9949811774. The cubic root of 40653312 is about 343.8470565828.

Adding to 40653312 its reverse (21335604), we get a palindrome (61988916).

The spelling of 40653312 in words is "forty million, six hundred fifty-three thousand, three hundred twelve".