3000466022400 has 3024 divisors, whose sum is σ = 14394177195840. Its totient is φ = 601974374400.

The previous prime is 3000466022383. The next prime is 3000466022401. The reversal of 3000466022400 is 42206640003.

3000466022400 is a `hidden beast` number, since 30 + 0 + 0 + 4 + 6 + 602 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000466022401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 103464345586 + ... + 103464345614.

Almost surely, 2^{3000466022400} is an apocalyptic number.

3000466022400 is a gapful number since it is divisible by the number (30) 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 3000466022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197088597920).

3000466022400 is an abundant number, since it is smaller than the sum of its proper divisors (11393711173440).

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

3000466022400 is an frugal number, since it uses more digits than its factorization.

3000466022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 3000466022400 in words is "three trillion, four hundred sixty-six million, twenty-two thousand, four hundred".