1071964302729 has 32 divisors (see below), whose sum is σ = 1503479577600. Its totient is φ = 678455050560.

The previous prime is 1071964302701. The next prime is 1071964302791. The reversal of 1071964302729 is 9272034691701.

It is a happy number.

1071964302729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1071964302729 - 2¹³ = 1071964294537 is a prime.

It is a super-2 number, since 2×1071964302729² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1071964302229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171852 + ... + 1875410.

It is an arithmetic number, because the mean of its divisors is an integer number (46983736800).

Almost surely, 2^{1071964302729} is an apocalyptic number.

It is an amenable number.

1071964302729 is a deficient number, since it is larger than the sum of its proper divisors (431515274871).

1071964302729 is a wasteful number, since it uses less digits than its factorization.

1071964302729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703885.

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 1071964302729 in words is "one trillion, seventy-one billion, nine hundred sixty-four million, three hundred two thousand, seven hundred twenty-nine".