40172748112224 has 384 divisors, whose sum is σ = 146573978664960. Its totient is φ = 10421320550400.

The previous prime is 40172748112199. The next prime is 40172748112229. The reversal of 40172748112224 is 42221184727104.

40172748112224 is a `hidden beast` number, since 4 + 0 + 1 + 7 + 27 + 481 + 122 + 24 = 666.

It is a super-2 number, since 2×40172748112224² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40172748112224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40172748112229) 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, 607969 + ... + 8984159.

It is an arithmetic number, because the mean of its divisors is an integer number (381703069440).

Almost surely, 2^{40172748112224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40172748112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73286989332480).

40172748112224 is an abundant number, since it is smaller than the sum of its proper divisors (106401230552736).

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

40172748112224 is a wasteful number, since it uses less digits than its factorization.

40172748112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376291 (or 8376277 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 40172748112224 in words is "forty trillion, one hundred seventy-two billion, seven hundred forty-eight million, one hundred twelve thousand, two hundred twenty-four".