4030423488000 has 3840 divisors, whose sum is σ = 19612624711680. Its totient is φ = 794271744000.

The previous prime is 4030423487989. The next prime is 4030423488001. The reversal of 4030423488000 is 8843240304.

4030423488000 is a `hidden beast` number, since 4 + 0 + 304 + 2 + 348 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×4030423488000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4030423488001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56766527965 + ... + 56766528035.

It is an arithmetic number, because the mean of its divisors is an integer number (5107454352).

Almost surely, 2^{4030423488000} is an apocalyptic number.

4030423488000 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 4030423488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9806312355840).

4030423488000 is an abundant number, since it is smaller than the sum of its proper divisors (15582201223680).

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

4030423488000 is a wasteful number, since it uses less digits than its factorization.

4030423488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4030423488000 in words is "four trillion, thirty billion, four hundred twenty-three million, four hundred eighty-eight thousand".