4754211840 has 704 divisors, whose sum is σ = 20515852800. Its totient is φ = 1022754816.

The previous prime is 4754211829. The next prime is 4754211841. The reversal of 4754211840 is 481124574.

It is a happy number.

4754211840 is a `hidden beast` number, since 475 + 4 + 2 + 1 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4754211795 and 4754211804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4754211841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279659512 + ... + 279659528.

Almost surely, 2^4754211840 is an apocalyptic number.

4754211840 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 4754211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257926400).

4754211840 is an abundant number, since it is smaller than the sum of its proper divisors (15761640960).

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

4754211840 is an equidigital number, since it uses as much as digits as its factorization.

4754211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4754211840 is about 68950.7928888421. The cubic root of 4754211840 is about 1681.4844023219.

4754211840 divided by its product of nonzero digits (35840) gives a cube (132651 = 51³).

The spelling of 4754211840 in words is "four billion, seven hundred fifty-four million, two hundred eleven thousand, eight hundred forty".