4190213094001 has 27 divisors (see below), whose sum is σ = 4673338135627. Its totient is φ = 3754199834000.

The previous prime is 4190213093993. The next prime is 4190213094049. The reversal of 4190213094001 is 1004903120914.

The square root of 4190213094001 is 2047001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3452160284001 + 738052810000 = 1857999^2 + 859100^2 .

It is not a de Polignac number, because 4190213094001 - 2³ = 4190213093993 is a prime.

It is a super-3 number, since 3×4190213094001³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4190213094701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1598706471 + ... + 1598709091.

Almost surely, 2^{4190213094001} is an apocalyptic number.

4190213094001 is the 2047001-st square number.

4190213094001 is the 1023501-st centered octagonal number.

It is an amenable number.

4190213094001 is a deficient number, since it is larger than the sum of its proper divisors (483125041626).

4190213094001 is an frugal number, since it uses more digits than its factorization.

4190213094001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 4190213094001 in words is "four trillion, one hundred ninety billion, two hundred thirteen million, ninety-four thousand, one".