1456000151424 has 128 divisors (see below), whose sum is σ = 4760000609280. Its totient is φ = 384000030720.

The previous prime is 1456000151413. The next prime is 1456000151429. The reversal of 1456000151424 is 4241510006541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1456000151424³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456000151429) 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 15 ways as a sum of consecutive naturals, for example, 20798392 + ... + 20868279.

It is an arithmetic number, because the mean of its divisors is an integer number (37187504760).

Almost surely, 2^{1456000151424} is an apocalyptic number.

1456000151424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1456000151424 is an abundant number, since it is smaller than the sum of its proper divisors (3304000457856).

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

1456000151424 is a wasteful number, since it uses less digits than its factorization.

1456000151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41666708 (or 41666696 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 1456000151424 its reverse (4241510006541), we get a palindrome (5697510157965).

The spelling of 1456000151424 in words is "one trillion, four hundred fifty-six billion, one hundred fifty-one thousand, four hundred twenty-four".