7438431456 has 72 divisors (see below), whose sum is σ = 21724774344. Its totient is φ = 2412460800.

The previous prime is 7438431421. The next prime is 7438431461. The reversal of 7438431456 is 6541348347.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7438431456² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338370 + ... + 359681.

It is an arithmetic number, because the mean of its divisors is an integer number (301732977).

Almost surely, 2^7438431456 is an apocalyptic number.

It is an amenable number.

7438431456 is an abundant number, since it is smaller than the sum of its proper divisors (14286342888).

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

7438431456 is a wasteful number, since it uses less digits than its factorization.

7438431456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698104 (or 698093 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 7438431456 is about 86246.3416963294. The cubic root of 7438431456 is about 1952.0628143139.

The spelling of 7438431456 in words is "seven billion, four hundred thirty-eight million, four hundred thirty-one thousand, four hundred fifty-six".