4506058346400 has 864 divisors, whose sum is σ = 18352615357440. Its totient is φ = 1030957424640.

The previous prime is 4506058346389. The next prime is 4506058346411. The reversal of 4506058346400 is 46438506054.

4506058346400 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 0 + 583 + 4 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4506058346389) and next prime (4506058346411).

It is a super-2 number, since 2×4506058346400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94231297 + ... + 94279103.

It is an arithmetic number, because the mean of its divisors is an integer number (21241452960).

Almost surely, 2^{4506058346400} is an apocalyptic number.

4506058346400 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 4506058346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176307678720).

4506058346400 is an abundant number, since it is smaller than the sum of its proper divisors (13846557011040).

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

4506058346400 is a wasteful number, since it uses less digits than its factorization.

4506058346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47918 (or 47902 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4506058346400 in words is "four trillion, five hundred six billion, fifty-eight million, three hundred forty-six thousand, four hundred".