4059892989504 has 252 divisors, whose sum is σ = 13203648756480. Its totient is φ = 1190583820800.

The previous prime is 4059892989479. The next prime is 4059892989511.

4059892989504 is a `hidden beast` number, since 4 + 0 + 5 + 98 + 9 + 29 + 8 + 9 + 504 = 666.

4059892989504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1221037 + ... + 3100115.

Almost surely, 2^{4059892989504} is an apocalyptic number.

4059892989504 is a gapful number since it is divisible by the number (44) 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 4059892989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601824378240).

4059892989504 is an abundant number, since it is smaller than the sum of its proper divisors (9143755766976).

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

4059892989504 is a wasteful number, since it uses less digits than its factorization.

4059892989504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879150 (or 1879126 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 4059892989504 in words is "four trillion, fifty-nine billion, eight hundred ninety-two million, nine hundred eighty-nine thousand, five hundred four".