1029440861568 has 384 divisors, whose sum is σ = 3502758205440. Its totient is φ = 283983667200.

The previous prime is 1029440861543. The next prime is 1029440861587. The reversal of 1029440861568 is 8651680449201.

1029440861568 is a `hidden beast` number, since 10 + 2 + 9 + 4 + 4 + 0 + 8 + 61 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1029440861568² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114238183 + ... + 114247193.

It is an arithmetic number, because the mean of its divisors is an integer number (9121766160).

Almost surely, 2^{1029440861568} is an apocalyptic number.

1029440861568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029440861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751379102720).

1029440861568 is an abundant number, since it is smaller than the sum of its proper divisors (2473317343872).

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

1029440861568 is a wasteful number, since it uses less digits than its factorization.

1029440861568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9511 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1029440861568 in words is "one trillion, twenty-nine billion, four hundred forty million, eight hundred sixty-one thousand, five hundred sixty-eight".