1478240083008 has 1120 divisors, whose sum is σ = 5181486858240. Its totient is φ = 412648058880.

The previous prime is 1478240082911. The next prime is 1478240083079. The reversal of 1478240083008 is 8003800428741.

It is a super-2 number, since 2×1478240083008² (a number of 25 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 6628879185 + ... + 6628879407.

It is an arithmetic number, because the mean of its divisors is an integer number (4626327552).

Almost surely, 2^{1478240083008} is an apocalyptic number.

1478240083008 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 1478240083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590743429120).

1478240083008 is an abundant number, since it is smaller than the sum of its proper divisors (3703246775232).

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

1478240083008 is a wasteful number, since it uses less digits than its factorization.

1478240083008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1478240083008 in words is "one trillion, four hundred seventy-eight billion, two hundred forty million, eighty-three thousand, eight".