1474428672288 has 576 divisors, whose sum is σ = 5117281868160. Its totient is φ = 410259548160.

The previous prime is 1474428672287. The next prime is 1474428672289. The reversal of 1474428672288 is 8822768244741.

1474428672288 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 4 + 286 + 72 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (1474428672287) and next prime (1474428672289).

It is a super-3 number, since 3×1474428672288³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1474428672287) 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 95 ways as a sum of consecutive naturals, for example, 267734431 + ... + 267739937.

It is an arithmetic number, because the mean of its divisors is an integer number (8884169910).

Almost surely, 2^{1474428672288} is an apocalyptic number.

1474428672288 is a gapful number since it is divisible by the number (18) 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 1474428672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558640934080).

1474428672288 is an abundant number, since it is smaller than the sum of its proper divisors (3642853195872).

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

1474428672288 is a wasteful number, since it uses less digits than its factorization.

1474428672288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5733 counting only the distinct ones).

The product of its digits is 77070336, while the sum is 63.

The spelling of 1474428672288 in words is "one trillion, four hundred seventy-four billion, four hundred twenty-eight million, six hundred seventy-two thousand, two hundred eighty-eight".