1047429433600 has 243 divisors, whose sum is σ = 2852116432249. Its totient is φ = 380555929600.

The previous prime is 1047429433559. The next prime is 1047429433601. The reversal of 1047429433600 is 63349247401.

The square root of 1047429433600 is 1023440.

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

1047429433600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 377074596096 + 670354837504 = 614064^2 + 818752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1047429433601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 900626619 + ... + 900627781.

Almost surely, 2^{1047429433600} is an apocalyptic number.

1047429433600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1047429433600 is the 1023440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047429433600

1047429433600 is an abundant number, since it is smaller than the sum of its proper divisors (1804686998649).

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

1047429433600 is an frugal number, since it uses more digits than its factorization.

1047429433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 1047429433600 in words is "one trillion, forty-seven billion, four hundred twenty-nine million, four hundred thirty-three thousand, six hundred".