5410133640 has 256 divisors, whose sum is σ = 18714009600. Its totient is φ = 1388793600.

The previous prime is 5410133593. The next prime is 5410133653. The reversal of 5410133640 is 463310145.

5410133640 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 13 + 3 + 640 = 666.

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 63 ways as a sum of consecutive naturals, for example, 9474555 + ... + 9475125.

It is an arithmetic number, because the mean of its divisors is an integer number (73101600).

Almost surely, 2^5410133640 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 5410133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357004800).

5410133640 is an abundant number, since it is smaller than the sum of its proper divisors (13303875960).

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

5410133640 is a wasteful number, since it uses less digits than its factorization.

5410133640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 895 counting only the distinct ones).

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

The square root of 5410133640 is about 73553.6106523670. The cubic root of 5410133640 is about 1755.5073994933.

Adding to 5410133640 its reverse (463310145), we get a palindrome (5873443785).

The spelling of 5410133640 in words is "five billion, four hundred ten million, one hundred thirty-three thousand, six hundred forty".