4628053440 has 336 divisors, whose sum is σ = 16974921600. Its totient is φ = 1153972224.

The previous prime is 4628053393. The next prime is 4628053471. The reversal of 4628053440 is 443508264.

4628053440 is a `hidden beast` number, since 4 + 6 + 2 + 80 + 534 + 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 = 4628053395 and 4628053404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4541251 + ... + 4542269.

It is an arithmetic number, because the mean of its divisors is an integer number (50520600).

Almost surely, 2^4628053440 is an apocalyptic number.

4628053440 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 4628053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487460800).

4628053440 is an abundant number, since it is smaller than the sum of its proper divisors (12346868160).

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

4628053440 is a wasteful number, since it uses less digits than its factorization.

4628053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4628053440 is about 68029.7981769754. The cubic root of 4628053440 is about 1666.4775024421.

The spelling of 4628053440 in words is "four billion, six hundred twenty-eight million, fifty-three thousand, four hundred forty".