1048410015120 has 1600 divisors, whose sum is σ = 4459169594880. Its totient is φ = 225453735936.

The previous prime is 1048410015109. The next prime is 1048410015131. The reversal of 1048410015120 is 215100148401.

It is a happy number.

1048410015120 is a `hidden beast` number, since 1 + 0 + 48 + 4 + 100 + 1 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1048410015109) and next prime (1048410015131).

It is a super-2 number, since 2×1048410015120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 1442104197 + ... + 1442104923.

Almost surely, 2^{1048410015120} is an apocalyptic number.

1048410015120 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 1048410015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229584797440).

1048410015120 is an abundant number, since it is smaller than the sum of its proper divisors (3410759579760).

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

1048410015120 is a wasteful number, since it uses less digits than its factorization.

1048410015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 1048410015120 in words is "one trillion, forty-eight billion, four hundred ten million, fifteen thousand, one hundred twenty".