4900414041600 has 960 divisors, whose sum is σ = 20350990167552. Its totient is φ = 1018193510400.

The previous prime is 4900414041571. The next prime is 4900414041637. The reversal of 4900414041600 is 61404140094.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4900414041600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357765952 + ... + 357779648.

Almost surely, 2^{4900414041600} is an apocalyptic number.

4900414041600 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 4900414041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175495083776).

4900414041600 is an abundant number, since it is smaller than the sum of its proper divisors (15450576125952).

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

4900414041600 is a wasteful number, since it uses less digits than its factorization.

4900414041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768 (or 13725 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 4900414041600 its reverse (61404140094), we get a palindrome (4961818181694).

The spelling of 4900414041600 in words is "four trillion, nine hundred billion, four hundred fourteen million, forty-one thousand, six hundred".