4630054010400 has 864 divisors, whose sum is σ = 20119085296128. Its totient is φ = 975692390400.

The previous prime is 4630054010353. The next prime is 4630054010453. The reversal of 4630054010400 is 40104500364.

4630054010400 is a `hidden beast` number, since 46 + 30 + 0 + 540 + 10 + 40 + 0 = 666.

It is a super-2 number, since 2×4630054010400² (a number of 26 digits) contains 22 as substring.

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, 596883322 + ... + 596891078.

It is an arithmetic number, because the mean of its divisors is an integer number (23285978352).

Almost surely, 2^{4630054010400} is an apocalyptic number.

4630054010400 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 4630054010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059542648064).

4630054010400 is an abundant number, since it is smaller than the sum of its proper divisors (15489031285728).

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

4630054010400 is a wasteful number, since it uses less digits than its factorization.

4630054010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 4630054010400 its reverse (40104500364), we get a palindrome (4670158510764).

The spelling of 4630054010400 in words is "four trillion, six hundred thirty billion, fifty-four million, ten thousand, four hundred".