4261154040 has 640 divisors, whose sum is σ = 17848797120. Its totient is φ = 895795200.

The previous prime is 4261154039. The next prime is 4261154047. The reversal of 4261154040 is 404511624.

4261154040 is a `hidden beast` number, since 4 + 2 + 611 + 5 + 4 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4261153995 and 4261154013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261154047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7876170 + ... + 7876710.

Almost surely, 2^4261154040 is an apocalyptic number.

4261154040 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 4261154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8924398560).

4261154040 is an abundant number, since it is smaller than the sum of its proper divisors (13587643080).

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

4261154040 is a wasteful number, since it uses less digits than its factorization.

4261154040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4261154040 is about 65277.5155777240. The cubic root of 4261154040 is about 1621.2217121672.

Adding to 4261154040 its reverse (404511624), we get a palindrome (4665665664).

The spelling of 4261154040 in words is "four billion, two hundred sixty-one million, one hundred fifty-four thousand, forty".