1480171027104 has 960 divisors, whose sum is σ = 5728475934720. Its totient is φ = 363512033280.

The previous prime is 1480171027091. The next prime is 1480171027177. The reversal of 1480171027104 is 4017201710841.

1480171027104 is a `hidden beast` number, since 1 + 480 + 1 + 7 + 102 + 71 + 0 + 4 = 666.

It is a super-2 number, since 2×1480171027104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 408546637 + ... + 408550259.

It is an arithmetic number, because the mean of its divisors is an integer number (5967162432).

Almost surely, 2^{1480171027104} is an apocalyptic number.

1480171027104 is a gapful number since it is divisible by the number (14) 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 1480171027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864237967360).

1480171027104 is an abundant number, since it is smaller than the sum of its proper divisors (4248304907616).

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

1480171027104 is a wasteful number, since it uses less digits than its factorization.

1480171027104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

Adding to 1480171027104 its reverse (4017201710841), we get a palindrome (5497372737945).

The spelling of 1480171027104 in words is "one trillion, four hundred eighty billion, one hundred seventy-one million, twenty-seven thousand, one hundred four".