4901413800 has 192 divisors, whose sum is σ = 15620428800. Its totient is φ = 1270777600.

The previous prime is 4901413799. The next prime is 4901413807. The reversal of 4901413800 is 83141094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4901413807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5047315 + ... + 5048285.

It is an arithmetic number, because the mean of its divisors is an integer number (81356400).

Almost surely, 2^4901413800 is an apocalyptic number.

4901413800 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 4901413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810214400).

4901413800 is an abundant number, since it is smaller than the sum of its proper divisors (10719015000).

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

4901413800 is a wasteful number, since it uses less digits than its factorization.

4901413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4901413800 is about 70010.0978430969. The cubic root of 4901413800 is about 1698.6625928763.

Adding to 4901413800 its reverse (83141094), we get a palindrome (4984554894).

The spelling of 4901413800 in words is "four billion, nine hundred one million, four hundred thirteen thousand, eight hundred".