40483994400 has 396 divisors, whose sum is σ = 148419473202. Its totient is φ = 10783134720.

The previous prime is 40483994389. The next prime is 40483994443. The reversal of 40483994400 is 449938404.

40483994400 is a `hidden beast` number, since 40 + 4 + 83 + 99 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37414391184 + 3069603216 = 193428^2 + 55404^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 47238772 + ... + 47239628.

Almost surely, 2^40483994400 is an apocalyptic number.

40483994400 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 40483994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74209736601).

40483994400 is an abundant number, since it is smaller than the sum of its proper divisors (107935478802).

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

40483994400 is an frugal number, since it uses more digits than its factorization.

40483994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40483994400 in words is "forty billion, four hundred eighty-three million, nine hundred ninety-four thousand, four hundred".