5410741600 has 288 divisors, whose sum is σ = 15014039040. Its totient is φ = 1886976000.

The previous prime is 5410741571. The next prime is 5410741603. The reversal of 5410741600 is 61470145.

It is a super-2 number, since 2×5410741600² = 58552249323941120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410741603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29893510 + ... + 29893690.

It is an arithmetic number, because the mean of its divisors is an integer number (52132080).

Almost surely, 2^5410741600 is an apocalyptic number.

5410741600 is a gapful number since it is divisible by the number (50) 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 5410741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507019520).

5410741600 is an abundant number, since it is smaller than the sum of its proper divisors (9603297440).

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

5410741600 is a wasteful number, since it uses less digits than its factorization.

5410741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 5410741600 is about 73557.7433041553. The cubic root of 5410741600 is about 1755.5731550041.

The spelling of 5410741600 in words is "five billion, four hundred ten million, seven hundred forty-one thousand, six hundred".