4142551626304 has 112 divisors (see below), whose sum is σ = 10364151805056. Its totient is φ = 1598840524800.

The previous prime is 4142551626281. The next prime is 4142551626329. The reversal of 4142551626304 is 4036261552414.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8435482 + ... + 8913049.

It is an arithmetic number, because the mean of its divisors is an integer number (92537069688).

Almost surely, 2^{4142551626304} is an apocalyptic number.

It is an amenable number.

4142551626304 is an abundant number, since it is smaller than the sum of its proper divisors (6221600178752).

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

4142551626304 is a wasteful number, since it uses less digits than its factorization.

4142551626304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17348604 (or 17348594 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 4142551626304 in words is "four trillion, one hundred forty-two billion, five hundred fifty-one million, six hundred twenty-six thousand, three hundred four".