4741521408 has 448 divisors, whose sum is σ = 16183782720. Its totient is φ = 1358954496.

The previous prime is 4741521401. The next prime is 4741521409. The reversal of 4741521408 is 8041251474.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4741521401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48881616 + ... + 48881712.

It is an arithmetic number, because the mean of its divisors is an integer number (36124515).

Almost surely, 2^4741521408 is an apocalyptic number.

4741521408 is a gapful number since it is divisible by the number (48) 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 4741521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091891360).

4741521408 is an abundant number, since it is smaller than the sum of its proper divisors (11442261312).

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

4741521408 is a wasteful number, since it uses less digits than its factorization.

4741521408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 132 counting only the distinct ones).

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

The square root of 4741521408 is about 68858.7061162203. The cubic root of 4741521408 is about 1679.9869386740.

The spelling of 4741521408 in words is "four billion, seven hundred forty-one million, five hundred twenty-one thousand, four hundred eight".