40393152 has 84 divisors (see below), whose sum is σ = 120853200. Its totient is φ = 12874752.

The previous prime is 40393147. The next prime is 40393153. The reversal of 40393152 is 25139304.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40393153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11724 + ... + 14772.

Almost surely, 2^40393152 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 40393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60426600).

40393152 is an abundant number, since it is smaller than the sum of its proper divisors (80460048).

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

40393152 is a wasteful number, since it uses less digits than its factorization.

40393152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 40393152 is about 6355.5607148386. The cubic root of 40393152 is about 343.1120057388.

The spelling of 40393152 in words is "forty million, three hundred ninety-three thousand, one hundred fifty-two".