4567891046400 has 936 divisors, whose sum is σ = 18230243975424. Its totient is φ = 1083693465600.

The previous prime is 4567891046333. The next prime is 4567891046417. The reversal of 4567891046400 is 46401987654.

4567891046400 is a `hidden beast` number, since 4 + 56 + 7 + 89 + 104 + 6 + 400 = 666.

It is a super-2 number, since 2×4567891046400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476462407 + ... + 476471993.

It is an arithmetic number, because the mean of its divisors is an integer number (19476756384).

Almost surely, 2^{4567891046400} is an apocalyptic number.

4567891046400 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 4567891046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115121987712).

4567891046400 is an abundant number, since it is smaller than the sum of its proper divisors (13662352929024).

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

4567891046400 is a wasteful number, since it uses less digits than its factorization.

4567891046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9685 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4567891046400 in words is "four trillion, five hundred sixty-seven billion, eight hundred ninety-one million, forty-six thousand, four hundred".