4219974720000 has 800 divisors, whose sum is σ = 16810437188160. Its totient is φ = 1038735360000.

The previous prime is 4219974719977. The next prime is 4219974720029. The reversal of 4219974720000 is 274799124.

It is a happy number.

4219974720000 is a `hidden beast` number, since 421 + 99 + 74 + 72 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 112301215 + ... + 112338785.

Almost surely, 2^{4219974720000} is an apocalyptic number.

4219974720000 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 4219974720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8405218594080).

4219974720000 is an abundant number, since it is smaller than the sum of its proper divisors (12590462468160).

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

4219974720000 is an equidigital number, since it uses as much as digits as its factorization.

4219974720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37631 (or 37594 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 4219974720000 in words is "four trillion, two hundred nineteen billion, nine hundred seventy-four million, seven hundred twenty thousand".