40563341779968 has 792 divisors, whose sum is σ = 140810084064000. Its totient is φ = 11202390097920.

The previous prime is 40563341779897. The next prime is 40563341779969. The reversal of 40563341779968 is 86997714336504.

40563341779968 is a `hidden beast` number, since 4 + 0 + 5 + 63 + 3 + 417 + 7 + 99 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40563341779896 and 40563341779905.

It is not an unprimeable number, because it can be changed into a prime (40563341779969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20984655930 + ... + 20984657862.

Almost surely, 2^{40563341779968} is an apocalyptic number.

40563341779968 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 40563341779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70405042032000).

40563341779968 is an abundant number, since it is smaller than the sum of its proper divisors (100246742284032).

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

40563341779968 is a wasteful number, since it uses less digits than its factorization.

40563341779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 40563341779968 in words is "forty trillion, five hundred sixty-three billion, three hundred forty-one million, seven hundred seventy-nine thousand, nine hundred sixty-eight".