4906954126800 has 1440 divisors, whose sum is σ = 21188614127616. Its totient is φ = 1036265472000.

The previous prime is 4906954126741. The next prime is 4906954126801. The reversal of 4906954126800 is 86214596094.

4906954126800 is a `hidden beast` number, since 4 + 90 + 6 + 9 + 541 + 2 + 6 + 8 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4906954126801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 479986489 + ... + 479996711.

Almost surely, 2^{4906954126800} is an apocalyptic number.

4906954126800 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 4906954126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594307063808).

4906954126800 is an abundant number, since it is smaller than the sum of its proper divisors (16281660000816).

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

4906954126800 is a wasteful number, since it uses less digits than its factorization.

4906954126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329 (or 10315 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4906954126800 in words is "four trillion, nine hundred six billion, nine hundred fifty-four million, one hundred twenty-six thousand, eight hundred".