4035405540 has 96 divisors (see below), whose sum is σ = 11450444544. Its totient is φ = 1061798400.

The previous prime is 4035405509. The next prime is 4035405553. The reversal of 4035405540 is 455045304.

4035405540 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 = 4035405498 and 4035405507.

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, 1421002 + ... + 1423838.

It is an arithmetic number, because the mean of its divisors is an integer number (119275464).

Almost surely, 2^4035405540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4035405540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725222272).

4035405540 is an abundant number, since it is smaller than the sum of its proper divisors (7415039004).

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

4035405540 is a wasteful number, since it uses less digits than its factorization.

4035405540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 4035405540 is about 63524.8419124361. The cubic root of 4035405540 is about 1592.0708667939.

The spelling of 4035405540 in words is "four billion, thirty-five million, four hundred five thousand, five hundred forty".