4023219456000 has 1920 divisors, whose sum is σ = 16178617334880. Its totient is φ = 990904320000.

The previous prime is 4023219455987. The next prime is 4023219456071. The reversal of 4023219456000 is 6549123204.

It is a happy number.

4023219456000 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 2 + 1 + 9 + 45 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 38692463616 + 3984526992384 = 196704^2 + 1996128^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×4023219456000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35603711944 + ... + 35603712056.

Almost surely, 2^{4023219456000} is an apocalyptic number.

4023219456000 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 4023219456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089308667440).

4023219456000 is an abundant number, since it is smaller than the sum of its proper divisors (12155397878880).

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

4023219456000 is a wasteful number, since it uses less digits than its factorization.

4023219456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4023219456000 in words is "four trillion, twenty-three billion, two hundred nineteen million, four hundred fifty-six thousand".