4156216003200 has 384 divisors, whose sum is σ = 13772847856320. Its totient is φ = 1101596753920.

The previous prime is 4156216003153. The next prime is 4156216003211. The reversal of 4156216003200 is 23006126514.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1736821204 + ... + 1736823596.

Almost surely, 2^{4156216003200} is an apocalyptic number.

4156216003200 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 4156216003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886423928160).

4156216003200 is an abundant number, since it is smaller than the sum of its proper divisors (9616631853120).

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

4156216003200 is a wasteful number, since it uses less digits than its factorization.

4156216003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 4156216003200 in words is "four trillion, one hundred fifty-six billion, two hundred sixteen million, three thousand, two hundred".