4216141403136 has 132 divisors (see below), whose sum is σ = 13110480009172. Its totient is φ = 1297274241024.

The previous prime is 4216141403119. The next prime is 4216141403141. The reversal of 4216141403136 is 6313041416124.

4216141403136 is a `hidden beast` number, since 4 + 2 + 1 + 614 + 1 + 4 + 0 + 3 + 1 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1112906843136 + 3103234560000 = 1054944^2 + 1761600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4216141403136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17475601 + ... + 17715216.

Almost surely, 2^{4216141403136} is an apocalyptic number.

It is an amenable number.

4216141403136 is an abundant number, since it is smaller than the sum of its proper divisors (8894338606036).

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

4216141403136 is a wasteful number, since it uses less digits than its factorization.

4216141403136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35190856 (or 35190835 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4216141403136 in words is "four trillion, two hundred sixteen billion, one hundred forty-one million, four hundred three thousand, one hundred thirty-six".