40916304479232 has 1584 divisors, whose sum is σ = 156884337267840. Its totient is φ = 10416832118784.

The previous prime is 40916304479231. The next prime is 40916304479233. The reversal of 40916304479232 is 23297440361904.

40916304479232 is a `hidden beast` number, since 4 + 0 + 9 + 163 + 0 + 4 + 479 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (40916304479231) and next prime (40916304479233).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40916304479231) 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 143 ways as a sum of consecutive naturals, for example, 8536677028 + ... + 8536681820.

Almost surely, 2^{40916304479232} is an apocalyptic number.

40916304479232 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 40916304479232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78442168633920).

40916304479232 is an abundant number, since it is smaller than the sum of its proper divisors (115968032788608).

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

40916304479232 is a wasteful number, since it uses less digits than its factorization.

40916304479232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4890 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 40916304479232 in words is "forty trillion, nine hundred sixteen billion, three hundred four million, four hundred seventy-nine thousand, two hundred thirty-two".