4741934400 has 420 divisors, whose sum is σ = 19923991648. Its totient is φ = 1083663360.

The previous prime is 4741934383. The next prime is 4741934441. The reversal of 4741934400 is 44391474.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 904587 + ... + 909813.

Almost surely, 2^4741934400 is an apocalyptic number.

4741934400 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 4741934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9961995824).

4741934400 is an abundant number, since it is smaller than the sum of its proper divisors (15182057248).

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

4741934400 is a wasteful number, since it uses less digits than its factorization.

4741934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4741934400 is about 68861.7048874046. The cubic root of 4741934400 is about 1680.0357135265.

The spelling of 4741934400 in words is "four billion, seven hundred forty-one million, nine hundred thirty-four thousand, four hundred".