4128216741936 has 240 divisors, whose sum is σ = 14383436544000. Its totient is φ = 1128208169088.

The previous prime is 4128216741923. The next prime is 4128216741967. The reversal of 4128216741936 is 6391476128214.

4128216741936 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 216 + 7 + 419 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 3752736 + ... + 4726463.

It is an arithmetic number, because the mean of its divisors is an integer number (59930985600).

Almost surely, 2^{4128216741936} is an apocalyptic number.

4128216741936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4128216741936 is an abundant number, since it is smaller than the sum of its proper divisors (10255219802064).

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

4128216741936 is a wasteful number, since it uses less digits than its factorization.

4128216741936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479253 (or 8479234 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 4128216741936 in words is "four trillion, one hundred twenty-eight billion, two hundred sixteen million, seven hundred forty-one thousand, nine hundred thirty-six".