40471099200 has 630 divisors, whose sum is σ = 173076338886. Its totient is φ = 9249085440.

The previous prime is 40471099157. The next prime is 40471099231. The reversal of 40471099200 is 299017404.

It can be written as a sum of positive squares in 3 ways, for example, as 6999664896 + 33471434304 = 83664^2 + 182952^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 6347214 + ... + 6353586.

Almost surely, 2^40471099200 is an apocalyptic number.

40471099200 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 40471099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538169443).

40471099200 is an abundant number, since it is smaller than the sum of its proper divisors (132605239686).

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

40471099200 is a wasteful number, since it uses less digits than its factorization.

40471099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 40471099200 in words is "forty billion, four hundred seventy-one million, ninety-nine thousand, two hundred".