40858433779968 has 576 divisors, whose sum is σ = 139279795200000. Its totient is φ = 11573347516416.

The previous prime is 40858433779963. The next prime is 40858433779987. The reversal of 40858433779968 is 86997733485804.

It is a happy number.

40858433779968 is a `hidden beast` number, since 4 + 0 + 8 + 58 + 433 + 7 + 79 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×40858433779968² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40858433779963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2918661033 + ... + 2918675031.

It is an arithmetic number, because the mean of its divisors is an integer number (241805200000).

Almost surely, 2^{40858433779968} is an apocalyptic number.

40858433779968 is a gapful number since it is divisible by the number (48) 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 40858433779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69639897600000).

40858433779968 is an abundant number, since it is smaller than the sum of its proper divisors (98421361420032).

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

40858433779968 is a wasteful number, since it uses less digits than its factorization.

40858433779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14547 (or 14527 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 40858433779968 in words is "forty trillion, eight hundred fifty-eight billion, four hundred thirty-three million, seven hundred seventy-nine thousand, nine hundred sixty-eight".