40117224000 has 448 divisors, whose sum is σ = 156294807552. Its totient is φ = 8872704000.

The previous prime is 40117223983. The next prime is 40117224011. The reversal of 40117224000 is 42271104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×40117224000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5204149 + ... + 5211851.

Almost surely, 2^40117224000 is an apocalyptic number.

40117224000 is a gapful number since it is divisible by the number (40) 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 40117224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78147403776).

40117224000 is an abundant number, since it is smaller than the sum of its proper divisors (116177583552).

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

40117224000 is a wasteful number, since it uses less digits than its factorization.

40117224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 40117224000 its reverse (42271104), we get a palindrome (40159495104).

The spelling of 40117224000 in words is "forty billion, one hundred seventeen million, two hundred twenty-four thousand".