1430257053456 has 720 divisors, whose sum is σ = 5334747125760. Its totient is φ = 347411151360.

The previous prime is 1430257053403. The next prime is 1430257053479. The reversal of 1430257053456 is 6543507520341.

1430257053456 is a `hidden beast` number, since 1 + 4 + 30 + 2 + 570 + 5 + 3 + 45 + 6 = 666.

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 143 ways as a sum of consecutive naturals, for example, 316216411 + ... + 316220933.

It is an arithmetic number, because the mean of its divisors is an integer number (7409371008).

Almost surely, 2^{1430257053456} is an apocalyptic number.

1430257053456 is a gapful number since it is divisible by the number (16) 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 1430257053456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667373562880).

1430257053456 is an abundant number, since it is smaller than the sum of its proper divisors (3904490072304).

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

1430257053456 is a wasteful number, since it uses less digits than its factorization.

1430257053456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 1430257053456 in words is "one trillion, four hundred thirty billion, two hundred fifty-seven million, fifty-three thousand, four hundred fifty-six".