4153535040 has 224 divisors, whose sum is σ = 13827776256. Its totient is φ = 1054310400.

The previous prime is 4153535027. The next prime is 4153535083. The reversal of 4153535040 is 405353514.

4153535040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4153534989 and 4153535007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6910740 + ... + 6911340.

It is an arithmetic number, because the mean of its divisors is an integer number (61731144).

Almost surely, 2^4153535040 is an apocalyptic number.

4153535040 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 4153535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913888128).

4153535040 is an abundant number, since it is smaller than the sum of its proper divisors (9674241216).

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

4153535040 is a wasteful number, since it uses less digits than its factorization.

4153535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 4153535040 is about 64447.9250247826. The cubic root of 4153535040 is about 1607.4567358616.

Adding to 4153535040 its reverse (405353514), we get a palindrome (4558888554).

The spelling of 4153535040 in words is "four billion, one hundred fifty-three million, five hundred thirty-five thousand, forty".