40167253728 has 768 divisors, whose sum is σ = 146313216000. Its totient is φ = 10692380160.

The previous prime is 40167253723. The next prime is 40167253729. The reversal of 40167253728 is 82735276104.

40167253728 is a `hidden beast` number, since 40 + 1 + 6 + 72 + 537 + 2 + 8 = 666.

It is a super-2 number, since 2×40167253728² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40167253723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483942775 + ... + 483942857.

It is an arithmetic number, because the mean of its divisors is an integer number (190512000).

Almost surely, 2^40167253728 is an apocalyptic number.

40167253728 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 40167253728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156608000).

40167253728 is an abundant number, since it is smaller than the sum of its proper divisors (106145962272).

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

40167253728 is a wasteful number, since it uses less digits than its factorization.

40167253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40167253728 in words is "forty billion, one hundred sixty-seven million, two hundred fifty-three thousand, seven hundred twenty-eight".