4229972361216 has 832 divisors, whose sum is σ = 15461882035200. Its totient is φ = 1116154626048.

The previous prime is 4229972361191. The next prime is 4229972361253. The reversal of 4229972361216 is 6121632799224.

It is a happy number.

4229972361216 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 9 + 7 + 2 + 3 + 612 + 16 = 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.

Its product of digits (3919104) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145861115890 + ... + 145861115918.

Almost surely, 2^{4229972361216} is an apocalyptic number.

4229972361216 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 4229972361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730941017600).

4229972361216 is an abundant number, since it is smaller than the sum of its proper divisors (11231909673984).

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

4229972361216 is an frugal number, since it uses more digits than its factorization.

4229972361216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 4229972361216 in words is "four trillion, two hundred twenty-nine billion, nine hundred seventy-two million, three hundred sixty-one thousand, two hundred sixteen".