4561557000 has 1024 divisors, whose sum is σ = 20127744000. Its totient is φ = 846720000.

The previous prime is 4561556999. The next prime is 4561557053. The reversal of 4561557000 is 7551654.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147146985 + ... + 147147015.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2^4561557000 is an apocalyptic number.

4561557000 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 4561557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10063872000).

4561557000 is an abundant number, since it is smaller than the sum of its proper divisors (15566187000).

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

4561557000 is a wasteful number, since it uses less digits than its factorization.

4561557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 4561557000 is about 67539.2996706362. The cubic root of 4561557000 is about 1658.4575840732.

The spelling of 4561557000 in words is "four billion, five hundred sixty-one million, five hundred fifty-seven thousand".