4135487040 has 252 divisors, whose sum is σ = 14683326996. Its totient is φ = 1067544576.

The previous prime is 4135486969. The next prime is 4135487093. The reversal of 4135487040 is 407845314.

4135487040 is a `hidden beast` number, since 4 + 1 + 3 + 548 + 70 + 40 = 666.

4135487040 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 can be written as a sum of positive squares in 6 ways, for example, as 2125578816 + 2009908224 = 46104^2 + 44832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4135486986 and 4135487004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20992222 + ... + 20992418.

Almost surely, 2^4135487040 is an apocalyptic number.

4135487040 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 4135487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341663498).

4135487040 is an abundant number, since it is smaller than the sum of its proper divisors (10547839956).

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

4135487040 is a wasteful number, since it uses less digits than its factorization.

4135487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4135487040 is about 64307.7525653012. The cubic root of 4135487040 is about 1605.1251074342.

The spelling of 4135487040 in words is "four billion, one hundred thirty-five million, four hundred eighty-seven thousand, forty".