1010404433952 has 36 divisors (see below), whose sum is σ = 2873337609870. Its totient is φ = 336801477888.

The previous prime is 1010404433947. The next prime is 1010404433953. The reversal of 1010404433952 is 2593344040101.

It can be written as a sum of positive squares in only one way, i.e., 960784198416 + 49620235536 = 980196^2 + 222756^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1010404433953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1754174077 + ... + 1754174652.

Almost surely, 2^{1010404433952} is an apocalyptic number.

1010404433952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010404433952 is an abundant number, since it is smaller than the sum of its proper divisors (1862933175918).

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

1010404433952 is a wasteful number, since it uses less digits than its factorization.

1010404433952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508348745 (or 3508348734 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1010404433952 in words is "one trillion, ten billion, four hundred four million, four hundred thirty-three thousand, nine hundred fifty-two".