1035200432704 has 63 divisors (see below), whose sum is σ = 2079021264987. Its totient is φ = 511426341888.

The previous prime is 1035200432699. The next prime is 1035200432713. The reversal of 1035200432704 is 4072340025301.

It is a happy number.

The square root of 1035200432704 is 1017448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 588976432704 + 446224000000 = 767448^2 + 668000^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 724422262 + ... + 724423690.

Almost surely, 2^{1035200432704} is an apocalyptic number.

1035200432704 is the 1017448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035200432704

1035200432704 is an abundant number, since it is smaller than the sum of its proper divisors (1043820832283).

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

1035200432704 is an frugal number, since it uses more digits than its factorization.

1035200432704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 1035200432704 in words is "one trillion, thirty-five billion, two hundred million, four hundred thirty-two thousand, seven hundred four".