4890423081600 has 1920 divisors, whose sum is σ = 21429140113920. Its totient is φ = 1074954240000.

The previous prime is 4890423081571. The next prime is 4890423081617. The reversal of 4890423081600 is 61803240984.

It is a happy number.

4890423081600 is a `hidden beast` number, since 4 + 8 + 9 + 0 + 4 + 2 + 30 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 6511881225 + ... + 6511881975.

It is an arithmetic number, because the mean of its divisors is an integer number (11161010476).

Almost surely, 2^{4890423081600} is an apocalyptic number.

4890423081600 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 4890423081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714570056960).

4890423081600 is an abundant number, since it is smaller than the sum of its proper divisors (16538717032320).

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

4890423081600 is a wasteful number, since it uses less digits than its factorization.

4890423081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4890423081600 in words is "four trillion, eight hundred ninety billion, four hundred twenty-three million, eighty-one thousand, six hundred".