4468297478400 has 1080 divisors, whose sum is σ = 18988630524864. Its totient is φ = 1015533158400.

The previous prime is 4468297478377. The next prime is 4468297478419. The reversal of 4468297478400 is 48747928644.

4468297478400 is a `hidden beast` number, since 4 + 46 + 82 + 9 + 7 + 478 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 656809399 + ... + 656816201.

Almost surely, 2^{4468297478400} is an apocalyptic number.

4468297478400 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 4468297478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9494315262432).

4468297478400 is an abundant number, since it is smaller than the sum of its proper divisors (14520333046464).

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

4468297478400 is a wasteful number, since it uses less digits than its factorization.

4468297478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 4468297478400 in words is "four trillion, four hundred sixty-eight billion, two hundred ninety-seven million, four hundred seventy-eight thousand, four hundred".