4896188006400 has 1368 divisors, whose sum is σ = 19624397953680. Its totient is φ = 1159641169920.

The previous prime is 4896188006371. The next prime is 4896188006449. The reversal of 4896188006400 is 46008816984.

It is a tau number, because it is divible by the number of its divisors (1368).

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, 19051315072 + ... + 19051315328.

Almost surely, 2^{4896188006400} is an apocalyptic number.

4896188006400 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 4896188006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812198976840).

4896188006400 is an abundant number, since it is smaller than the sum of its proper divisors (14728209947280).

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

4896188006400 is a wasteful number, since it uses less digits than its factorization.

4896188006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 4896188006400 in words is "four trillion, eight hundred ninety-six billion, one hundred eighty-eight million, six thousand, four hundred".