40296312 has 128 divisors (see below), whose sum is σ = 132480000. Its totient is φ = 11104128.

The previous prime is 40296287. The next prime is 40296337. The reversal of 40296312 is 21369204.

40296312 is a `hidden beast` number, since 4 + 0 + 29 + 631 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40296287) and next prime (40296337).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43389 + ... + 44307.

It is an arithmetic number, because the mean of its divisors is an integer number (1035000).

Almost surely, 2^40296312 is an apocalyptic number.

40296312 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 40296312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240000).

40296312 is an abundant number, since it is smaller than the sum of its proper divisors (92183688).

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

40296312 is a wasteful number, since it uses less digits than its factorization.

40296312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40296312 is about 6347.9376178409. The cubic root of 40296312 is about 342.8375899564.

The spelling of 40296312 in words is "forty million, two hundred ninety-six thousand, three hundred twelve".