7444407312 has 30 divisors (see below), whose sum is σ = 20834001422. Its totient is φ = 2481469056.

The previous prime is 7444407307. The next prime is 7444407317. The reversal of 7444407312 is 2137044447.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7444407307) and next prime (7444407317).

It can be written as a sum of positive squares in only one way, i.e., 7440097536 + 4309776 = 86256^2 + 2076^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7444407317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25848493 + ... + 25848780.

Almost surely, 2^7444407312 is an apocalyptic number.

7444407312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7444407312 is an abundant number, since it is smaller than the sum of its proper divisors (13389594110).

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

7444407312 is a wasteful number, since it uses less digits than its factorization.

7444407312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51697287 (or 51697278 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 7444407312 is about 86280.9788539745. The cubic root of 7444407312 is about 1952.5854210796.

The spelling of 7444407312 in words is "seven billion, four hundred forty-four million, four hundred seven thousand, three hundred twelve".