4135560000 has 560 divisors, whose sum is σ = 16130186688. Its totient is φ = 921600000.

The previous prime is 4135559977. The next prime is 4135560047. The reversal of 4135560000 is 655314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17159880 + ... + 17160120.

Almost surely, 2^4135560000 is an apocalyptic number.

4135560000 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 4135560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8065093344).

4135560000 is an abundant number, since it is smaller than the sum of its proper divisors (11994626688).

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

4135560000 is a wasteful number, since it uses less digits than its factorization.

4135560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 4135560000 is about 64308.3198349949. The cubic root of 4135560000 is about 1605.1345468092.

The spelling of 4135560000 in words is "four billion, one hundred thirty-five million, five hundred sixty thousand".