1464439129272 has 384 divisors, whose sum is σ = 4784652288000. Its totient is φ = 395872738560.

The previous prime is 1464439129249. The next prime is 1464439129289. The reversal of 1464439129272 is 2729219344641.

1464439129272 is a `hidden beast` number, since 1 + 4 + 6 + 443 + 9 + 129 + 2 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127126729 + ... + 127138247.

It is an arithmetic number, because the mean of its divisors is an integer number (12460032000).

Almost surely, 2^{1464439129272} is an apocalyptic number.

1464439129272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464439129272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392326144000).

1464439129272 is an abundant number, since it is smaller than the sum of its proper divisors (3320213158728).

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

1464439129272 is a wasteful number, since it uses less digits than its factorization.

1464439129272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11751 (or 11744 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 1464439129272 in words is "one trillion, four hundred sixty-four billion, four hundred thirty-nine million, one hundred twenty-nine thousand, two hundred seventy-two".