4950646016400 has 720 divisors, whose sum is σ = 20338947807360. Its totient is φ = 1091078553600.

The previous prime is 4950646016339. The next prime is 4950646016431. The reversal of 4950646016400 is 46106460594.

It is a happy number.

4950646016400 is a `hidden beast` number, since 49 + 506 + 4 + 60 + 1 + 6 + 40 + 0 = 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 (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, 592674624 + ... + 592682976.

Almost surely, 2^{4950646016400} is an apocalyptic number.

4950646016400 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 4950646016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169473903680).

4950646016400 is an abundant number, since it is smaller than the sum of its proper divisors (15388301790960).

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

4950646016400 is a wasteful number, since it uses less digits than its factorization.

4950646016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9224 (or 9210 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4950646016400 in words is "four trillion, nine hundred fifty billion, six hundred forty-six million, sixteen thousand, four hundred".