1041005013120 has 192 divisors, whose sum is σ = 3595500581400. Its totient is φ = 277541093376.

The previous prime is 1041005013101. The next prime is 1041005013137. The reversal of 1041005013120 is 213105001401.

1041005013120 is a `hidden beast` number, since 1 + 0 + 41 + 0 + 0 + 501 + 3 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1005591795264 + 35413217856 = 1002792^2 + 188184^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1041005013093 and 1041005013102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30701136 + ... + 30735024.

Almost surely, 2^{1041005013120} is an apocalyptic number.

1041005013120 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 1041005013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797750290700).

1041005013120 is an abundant number, since it is smaller than the sum of its proper divisors (2554495568280).

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

1041005013120 is a wasteful number, since it uses less digits than its factorization.

1041005013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39247 (or 39232 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 1041005013120 in words is "one trillion, forty-one billion, five million, thirteen thousand, one hundred twenty".