4466487290400 has 720 divisors, whose sum is σ = 16726332446208. Its totient is φ = 1159183872000.

The previous prime is 4466487290351. The next prime is 4466487290407. The reversal of 4466487290400 is 40927846644.

4466487290400 is a `hidden beast` number, since 4 + 46 + 6 + 48 + 72 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4466487290407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1230096585 + ... + 1230100215.

Almost surely, 2^{4466487290400} is an apocalyptic number.

4466487290400 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 4466487290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363166223104).

4466487290400 is an abundant number, since it is smaller than the sum of its proper divisors (12259845155808).

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

4466487290400 is a wasteful number, since it uses less digits than its factorization.

4466487290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4466487290400 in words is "four trillion, four hundred sixty-six billion, four hundred eighty-seven million, two hundred ninety thousand, four hundred".