1428153214464 has 240 divisors, whose sum is σ = 4348862369280. Its totient is φ = 449937469440.

The previous prime is 1428153214463. The next prime is 1428153214493. The reversal of 1428153214464 is 4644123518241.

1428153214464 is a `hidden beast` number, since 1 + 4 + 28 + 153 + 2 + 14 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428153214463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37715989 + ... + 37753835.

It is an arithmetic number, because the mean of its divisors is an integer number (18120259872).

Almost surely, 2^{1428153214464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428153214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174431184640).

1428153214464 is an abundant number, since it is smaller than the sum of its proper divisors (2920709154816).

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

1428153214464 is a wasteful number, since it uses less digits than its factorization.

1428153214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38321 (or 38302 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 1428153214464 in words is "one trillion, four hundred twenty-eight billion, one hundred fifty-three million, two hundred fourteen thousand, four hundred sixty-four".