4213988613360 has 720 divisors, whose sum is σ = 15017507728704. Its totient is φ = 1058503680000.

The previous prime is 4213988613253. The next prime is 4213988613379. The reversal of 4213988613360 is 633168893124.

4213988613360 is a `hidden beast` number, since 4 + 2 + 13 + 9 + 8 + 8 + 613 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 4213988613297 and 4213988613306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5537435380 + ... + 5537436140.

Almost surely, 2^{4213988613360} is an apocalyptic number.

4213988613360 is a gapful number since it is divisible by the number (40) 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 4213988613360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508753864352).

4213988613360 is an abundant number, since it is smaller than the sum of its proper divisors (10803519115344).

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

4213988613360 is a wasteful number, since it uses less digits than its factorization.

4213988613360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4213988613360 in words is "four trillion, two hundred thirteen billion, nine hundred eighty-eight million, six hundred thirteen thousand, three hundred sixty".