407044000000 has 567 divisors, whose sum is σ = 1156152642463. Its totient is φ = 142912000000.

The previous prime is 407043999953. The next prime is 407044000001. The reversal of 407044000000 is 440704.

It is a happy number.

The square root of 407044000000 is 638000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 344935385344 + 62108614656 = 587312^2 + 249216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407044000001) 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 62 ways as a sum of consecutive naturals, for example, 14035999986 + ... + 14036000014.

Almost surely, 2^407044000000 is an apocalyptic number.

407044000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

407044000000 is the 638000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407044000000

407044000000 is an abundant number, since it is smaller than the sum of its proper divisors (749108642463).

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

407044000000 is an frugal number, since it uses more digits than its factorization.

407044000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

Adding to 407044000000 its reverse (440704), we get a palindrome (407044440704).

The spelling of 407044000000 in words is "four hundred seven billion, forty-four million", and thus it is an aban number.