40480436167200 has 720 divisors, whose sum is σ = 149959586722176. Its totient is φ = 10624989542400.

The previous prime is 40480436167189. The next prime is 40480436167201. The reversal of 40480436167200 is 276163408404.

40480436167200 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 0 + 4 + 3 + 616 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40480436167201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1457532514 + ... + 1457560286.

Almost surely, 2^{40480436167200} is an apocalyptic number.

40480436167200 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 40480436167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74979793361088).

40480436167200 is an abundant number, since it is smaller than the sum of its proper divisors (109479150554976).

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

40480436167200 is a wasteful number, since it uses less digits than its factorization.

40480436167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28159 (or 28137 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 40480436167200 in words is "forty trillion, four hundred eighty billion, four hundred thirty-six million, one hundred sixty-seven thousand, two hundred".