4029959890576 has 45 divisors (see below), whose sum is σ = 7887707489883. Its totient is φ = 1994628153600.

The previous prime is 4029959890559. The next prime is 4029959890631. The reversal of 4029959890576 is 6750989599204.

The square root of 4029959890576 is 2007476.

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 279075532176 + 3750884358400 = 528276^2 + 1936720^2 .

It is a super-2 number, since 2×4029959890576² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4029959890499 and 4029959890508.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 811017820 + ... + 811022788.

Almost surely, 2^{4029959890576} is an apocalyptic number.

4029959890576 is the 2007476-th square number.

It is an amenable number.

4029959890576 is a deficient number, since it is larger than the sum of its proper divisors (3857747599307).

4029959890576 is an frugal number, since it uses more digits than its factorization.

4029959890576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10148 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 73.

The spelling of 4029959890576 in words is "four trillion, twenty-nine billion, nine hundred fifty-nine million, eight hundred ninety thousand, five hundred seventy-six".