4290604106000 has 40 divisors (see below), whose sum is σ = 10374680733144. Its totient is φ = 1716241641600.

The previous prime is 4290604105979. The next prime is 4290604106023. The reversal of 4290604106000 is 6014060924.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87890903296 + 4202713202704 = 296464^2 + 2050052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×4290604106000³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1072649027 + ... + 1072653026.

Almost surely, 2^{4290604106000} is an apocalyptic number.

4290604106000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4290604106000 is an abundant number, since it is smaller than the sum of its proper divisors (6084076627144).

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

4290604106000 is a wasteful number, since it uses less digits than its factorization.

4290604106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145302076 (or 2145302060 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 4290604106000 its reverse (6014060924), we get a palindrome (4296618166924).

The spelling of 4290604106000 in words is "four trillion, two hundred ninety billion, six hundred four million, one hundred six thousand".