1005480650142 has 96 divisors (see below), whose sum is σ = 2367662469120. Its totient is φ = 307214441280.

The previous prime is 1005480650099. The next prime is 1005480650143. The reversal of 1005480650142 is 2410560845001.

It is a happy number.

1005480650142 is a `hidden beast` number, since 10 + 0 + 548 + 0 + 65 + 0 + 1 + 42 = 666.

1005480650142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1005480650097 and 1005480650106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005480650143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98349643 + ... + 98359865.

It is an arithmetic number, because the mean of its divisors is an integer number (24663150720).

Almost surely, 2^{1005480650142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005480650142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183831234560).

1005480650142 is an abundant number, since it is smaller than the sum of its proper divisors (1362181818978).

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

1005480650142 is a wasteful number, since it uses less digits than its factorization.

1005480650142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19558 (or 19555 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1005480650142 in words is "one trillion, five billion, four hundred eighty million, six hundred fifty thousand, one hundred forty-two".