4025613600 has 576 divisors, whose sum is σ = 16255209600. Its totient is φ = 955514880.

The previous prime is 4025613533. The next prime is 4025613667. The reversal of 4025613600 is 63165204.

4025613600 is a `hidden beast` number, since 4 + 0 + 2 + 56 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4025613533) and next prime (4025613667).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6976512 + ... + 6977088.

It is an arithmetic number, because the mean of its divisors is an integer number (28220850).

Almost surely, 2^4025613600 is an apocalyptic number.

4025613600 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 4025613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8127604800).

4025613600 is an abundant number, since it is smaller than the sum of its proper divisors (12229596000).

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

4025613600 is a wasteful number, since it uses less digits than its factorization.

4025613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4025613600 is about 63447.7233634116. The cubic root of 4025613600 is about 1590.7821001022.

Adding to 4025613600 its reverse (63165204), we get a palindrome (4088778804).

The spelling of 4025613600 in words is "four billion, twenty-five million, six hundred thirteen thousand, six hundred".