4204012428000 has 3840 divisors, whose sum is σ = 20777492736000. Its totient is φ = 823011840000.

The previous prime is 4204012427987. The next prime is 4204012428013. The reversal of 4204012428000 is 8242104024.

4204012428000 is a `hidden beast` number, since 420 + 40 + 124 + 2 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4204012427987) and next prime (4204012428013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 23226587910 + ... + 23226588090.

It is an arithmetic number, because the mean of its divisors is an integer number (5410805400).

Almost surely, 2^{4204012428000} is an apocalyptic number.

4204012428000 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 4204012428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388746368000).

4204012428000 is an abundant number, since it is smaller than the sum of its proper divisors (16573480308000).

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

4204012428000 is a wasteful number, since it uses less digits than its factorization.

4204012428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 4204012428000 in words is "four trillion, two hundred four billion, twelve million, four hundred twenty-eight thousand".