1038806052480 has 480 divisors, whose sum is σ = 4315450279140. Its totient is φ = 237440802816.

The previous prime is 1038806052457. The next prime is 1038806052503. The reversal of 1038806052480 is 842506088301.

1038806052480 is a `hidden beast` number, since 1 + 0 + 38 + 8 + 0 + 605 + 2 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1038806052457) and next prime (1038806052503).

It can be written as a sum of positive squares in 2 ways, for example, as 953060157504 + 85745894976 = 976248^2 + 292824^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2335684 + ... + 2744636.

Almost surely, 2^{1038806052480} is an apocalyptic number.

1038806052480 is a gapful number since it is divisible by the number (10) 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 1038806052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157725139570).

1038806052480 is an abundant number, since it is smaller than the sum of its proper divisors (3276644226660).

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

1038806052480 is an equidigital number, since it uses as much as digits as its factorization.

1038806052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408998 (or 408970 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 1038806052480 in words is "one trillion, thirty-eight billion, eight hundred six million, fifty-two thousand, four hundred eighty".