40116932352 has 216 divisors, whose sum is σ = 136456785920. Its totient is φ = 11092101120.

The previous prime is 40116932351. The next prime is 40116932371. The reversal of 40116932352 is 25323961104.

40116932352 is a `hidden beast` number, since 401 + 16 + 9 + 3 + 235 + 2 = 666.

It is a super-2 number, since 2×40116932352² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40116932351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459849 + ... + 540087.

Almost surely, 2^40116932352 is an apocalyptic number.

40116932352 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 40116932352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68228392960).

40116932352 is an abundant number, since it is smaller than the sum of its proper divisors (96339853568).

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

40116932352 is a wasteful number, since it uses less digits than its factorization.

40116932352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80299 (or 80282 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 40116932352 in words is "forty billion, one hundred sixteen million, nine hundred thirty-two thousand, three hundred fifty-two".