5413374540 has 288 divisors, whose sum is σ = 19519718400. Its totient is φ = 1188546048.

The previous prime is 5413374517. The next prime is 5413374559. The reversal of 5413374540 is 454733145.

5413374540 is a `hidden beast` number, since 5 + 41 + 3 + 3 + 74 + 540 = 666.

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 = 5413374495 and 5413374504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3868761 + ... + 3870159.

It is an arithmetic number, because the mean of its divisors is an integer number (67776800).

Almost surely, 2^5413374540 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 5413374540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9759859200).

5413374540 is an abundant number, since it is smaller than the sum of its proper divisors (14106343860).

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

5413374540 is a wasteful number, since it uses less digits than its factorization.

5413374540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5413374540 is about 73575.6382235316. The cubic root of 5413374540 is about 1755.8578707027.

The spelling of 5413374540 in words is "five billion, four hundred thirteen million, three hundred seventy-four thousand, five hundred forty".