1451264315424 has 192 divisors, whose sum is σ = 4814657003520. Its totient is φ = 371787909120.

The previous prime is 1451264315419. The next prime is 1451264315483. The reversal of 1451264315424 is 4245134621541.

It is a super-2 number, since 2×1451264315424² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 805104 + ... + 1884335.

It is an arithmetic number, because the mean of its divisors is an integer number (25076338560).

Almost surely, 2^{1451264315424} is an apocalyptic number.

1451264315424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1451264315424 is an abundant number, since it is smaller than the sum of its proper divisors (3363392688096).

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

1451264315424 is a wasteful number, since it uses less digits than its factorization.

1451264315424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689543 (or 2689535 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

Adding to 1451264315424 its reverse (4245134621541), we get a palindrome (5696398936965).

The spelling of 1451264315424 in words is "one trillion, four hundred fifty-one billion, two hundred sixty-four million, three hundred fifteen thousand, four hundred twenty-four".