4927313714400 has 1728 divisors, whose sum is σ = 23008683350016. Its totient is φ = 960602112000.

The previous prime is 4927313714363. The next prime is 4927313714413. The reversal of 4927313714400 is 44173137294.

4927313714400 is a `hidden beast` number, since 4 + 9 + 2 + 73 + 137 + 1 + 440 + 0 = 666.

It is a super-2 number, since 2×4927313714400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4062088194 + ... + 4062089406.

It is an arithmetic number, because the mean of its divisors is an integer number (13315210272).

Almost surely, 2^{4927313714400} is an apocalyptic number.

4927313714400 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 4927313714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504341675008).

4927313714400 is an abundant number, since it is smaller than the sum of its proper divisors (18081369635616).

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

4927313714400 is a wasteful number, since it uses less digits than its factorization.

4927313714400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 4927313714400 in words is "four trillion, nine hundred twenty-seven billion, three hundred thirteen million, seven hundred fourteen thousand, four hundred".