4219436212992 has 2304 divisors, whose sum is σ = 18365153587200. Its totient is φ = 918568304640.

The previous prime is 4219436212991. The next prime is 4219436213023. The reversal of 4219436212992 is 2992126349124.

It is a happy number.

4219436212992 is a `hidden beast` number, since 4 + 2 + 1 + 9 + 4 + 3 + 621 + 2 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 not an unprimeable number, because it can be changed into a prime (4219436212991) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3411022998 + ... + 3411024234.

It is an arithmetic number, because the mean of its divisors is an integer number (7970986800).

Almost surely, 2^{4219436212992} is an apocalyptic number.

4219436212992 is a gapful number since it is divisible by the number (42) 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 4219436212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182576793600).

4219436212992 is an abundant number, since it is smaller than the sum of its proper divisors (14145717374208).

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

4219436212992 is a wasteful number, since it uses less digits than its factorization.

4219436212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1319 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 4219436212992 in words is "four trillion, two hundred nineteen billion, four hundred thirty-six million, two hundred twelve thousand, nine hundred ninety-two".