40475404800 has 360 divisors, whose sum is σ = 146865059484. Its totient is φ = 10643374080.

The previous prime is 40475404787. The next prime is 40475404817. The reversal of 40475404800 is 840457404.

It can be written as a sum of positive squares in 6 ways, for example, as 21138833664 + 19336571136 = 145392^2 + 139056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8407194 + ... + 8412006.

Almost surely, 2^40475404800 is an apocalyptic number.

40475404800 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 40475404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73432529742).

40475404800 is an abundant number, since it is smaller than the sum of its proper divisors (106389654684).

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

40475404800 is a wasteful number, since it uses less digits than its factorization.

40475404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 40475404800 in words is "forty billion, four hundred seventy-five million, four hundred four thousand, eight hundred".