40482824501772 has 144 divisors (see below), whose sum is σ = 107954667973152. Its totient is φ = 13263140620800.

The previous prime is 40482824501771. The next prime is 40482824501773. The reversal of 40482824501772 is 27710542828404.

40482824501772 is a `hidden beast` number, since 4 + 0 + 48 + 2 + 8 + 24 + 501 + 7 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (40482824501771) and next prime (40482824501773).

It is a super-3 number, since 3×40482824501772³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (40482824501771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11944578 + ... + 14954550.

It is an arithmetic number, because the mean of its divisors is an integer number (749685194258).

Almost surely, 2^{40482824501772} 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 40482824501772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53977333986576).

40482824501772 is an abundant number, since it is smaller than the sum of its proper divisors (67471843471380).

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

40482824501772 is a wasteful number, since it uses less digits than its factorization.

40482824501772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010230 (or 3010216 counting only the distinct ones).

The product of its (nonzero) digits is 8028160, while the sum is 54.

The spelling of 40482824501772 in words is "forty trillion, four hundred eighty-two billion, eight hundred twenty-four million, five hundred one thousand, seven hundred seventy-two".