4927212914400 has 1728 divisors, whose sum is σ = 21568666392000. Its totient is φ = 1081092096000.

The previous prime is 4927212914399. The next prime is 4927212914431. The reversal of 4927212914400 is 44192127294.

4927212914400 is a `hidden beast` number, since 4 + 9 + 27 + 212 + 9 + 1 + 4 + 400 = 666.

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, 7028834050 + ... + 7028834750.

It is an arithmetic number, because the mean of its divisors is an integer number (12481867125).

Almost surely, 2^{4927212914400} is an apocalyptic number.

4927212914400 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 4927212914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784333196000).

4927212914400 is an abundant number, since it is smaller than the sum of its proper divisors (16641453477600).

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

4927212914400 is a wasteful number, since it uses less digits than its factorization.

4927212914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4927212914400 in words is "four trillion, nine hundred twenty-seven billion, two hundred twelve million, nine hundred fourteen thousand, four hundred".