4386730977216 has 504 divisors, whose sum is σ = 15294769536384. Its totient is φ = 1196329559040.

The previous prime is 4386730977173. The next prime is 4386730977227. The reversal of 4386730977216 is 6127790376834.

4386730977216 is a `hidden beast` number, since 4 + 386 + 7 + 30 + 9 + 7 + 7 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4386730977216² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 318726751 + ... + 318740513.

Almost surely, 2^{4386730977216} is an apocalyptic number.

4386730977216 is a gapful number since it is divisible by the number (46) 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 4386730977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647384768192).

4386730977216 is an abundant number, since it is smaller than the sum of its proper divisors (10908038559168).

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

4386730977216 is a wasteful number, since it uses less digits than its factorization.

4386730977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14309 (or 14289 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 4386730977216 in words is "four trillion, three hundred eighty-six billion, seven hundred thirty million, nine hundred seventy-seven thousand, two hundred sixteen".