4940553600 has 288 divisors, whose sum is σ = 18667878840. Its totient is φ = 1239859200.

The previous prime is 4940553577. The next prime is 4940553601. The reversal of 4940553600 is 63550494.

It is a happy number.

4940553600 is a `hidden beast` number, since 4 + 9 + 40 + 5 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (4940553601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484555 + ... + 494645.

Almost surely, 2^4940553600 is an apocalyptic number.

4940553600 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 4940553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9333939420).

4940553600 is an abundant number, since it is smaller than the sum of its proper divisors (13727325240).

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

4940553600 is a wasteful number, since it uses less digits than its factorization.

4940553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4940553600 is about 70289.0716968150. The cubic root of 4940553600 is about 1703.1721165205.

The spelling of 4940553600 in words is "four billion, nine hundred forty million, five hundred fifty-three thousand, six hundred".