4921257876480 has 3520 divisors, whose sum is σ = 22187682570240. Its totient is φ = 1027709337600.

The previous prime is 4921257876401. The next prime is 4921257876517. The reversal of 4921257876480 is 846787521294.

It is a happy number.

4921257876480 is a `hidden beast` number, since 4 + 9 + 2 + 12 + 5 + 78 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 55295032276 + ... + 55295032364.

It is an arithmetic number, because the mean of its divisors is an integer number (6303318912).

Almost surely, 2^{4921257876480} is an apocalyptic number.

4921257876480 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 4921257876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093841285120).

4921257876480 is an abundant number, since it is smaller than the sum of its proper divisors (17266424693760).

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

4921257876480 is a wasteful number, since it uses less digits than its factorization.

4921257876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 4921257876480 in words is "four trillion, nine hundred twenty-one billion, two hundred fifty-seven million, eight hundred seventy-six thousand, four hundred eighty".