4973063040 has 1024 divisors, whose sum is σ = 21679488000. Its totient is φ = 1074954240.

The previous prime is 4973062993. The next prime is 4973063041. The reversal of 4973063040 is 403603794.

4973063040 is a `hidden beast` number, since 49 + 7 + 306 + 304 + 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 = 4973062986 and 4973063004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973063041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261740151 + ... + 261740169.

It is an arithmetic number, because the mean of its divisors is an integer number (21171375).

Almost surely, 2^4973063040 is an apocalyptic number.

4973063040 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 4973063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10839744000).

4973063040 is an abundant number, since it is smaller than the sum of its proper divisors (16706424960).

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

4973063040 is a wasteful number, since it uses less digits than its factorization.

4973063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4973063040 is about 70519.9478162030. The cubic root of 4973063040 is about 1706.8996453862.

The spelling of 4973063040 in words is "four billion, nine hundred seventy-three million, sixty-three thousand, forty".