4743541440 has 560 divisors, whose sum is σ = 18694139904. Its totient is φ = 1132185600.

The previous prime is 4743541423. The next prime is 4743541483. The reversal of 4743541440 is 441453474.

4743541440 is a `hidden beast` number, since 4 + 74 + 3 + 541 + 4 + 40 = 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 = 4743541395 and 4743541404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36210175 + ... + 36210305.

Almost surely, 2^4743541440 is an apocalyptic number.

4743541440 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 4743541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9347069952).

4743541440 is an abundant number, since it is smaller than the sum of its proper divisors (13950598464).

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

4743541440 is a wasteful number, since it uses less digits than its factorization.

4743541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4743541440 is about 68873.3725034574. The cubic root of 4743541440 is about 1680.2254799401.

The spelling of 4743541440 in words is "four billion, seven hundred forty-three million, five hundred forty-one thousand, four hundred forty".