4921106400 has 720 divisors, whose sum is σ = 21627365760. Its totient is φ = 1063756800.

The previous prime is 4921106341. The next prime is 4921106417. The reversal of 4921106400 is 46011294.

4921106400 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 10 + 640 + 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8618115 + ... + 8618685.

It is an arithmetic number, because the mean of its divisors is an integer number (30038008).

Almost surely, 2^4921106400 is an apocalyptic number.

4921106400 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 4921106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10813682880).

4921106400 is an abundant number, since it is smaller than the sum of its proper divisors (16706259360).

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

4921106400 is a wasteful number, since it uses less digits than its factorization.

4921106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4921106400 is about 70150.5980017277. The cubic root of 4921106400 is about 1700.9344804602.

Adding to 4921106400 its reverse (46011294), we get a palindrome (4967117694).

The spelling of 4921106400 in words is "four billion, nine hundred twenty-one million, one hundred six thousand, four hundred".