5407341408 has 384 divisors, whose sum is σ = 18827182080. Its totient is φ = 1477440000.

The previous prime is 5407341403. The next prime is 5407341473. The reversal of 5407341408 is 8041437045.

5407341408 is a `hidden beast` number, since 540 + 73 + 4 + 1 + 40 + 8 = 666.

It is a super-2 number, since 2×5407341408² = 58478682205342844928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407341403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28310593 + ... + 28310783.

It is an arithmetic number, because the mean of its divisors is an integer number (49029120).

Almost surely, 2^5407341408 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 5407341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9413591040).

5407341408 is an abundant number, since it is smaller than the sum of its proper divisors (13419840672).

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

5407341408 is a wasteful number, since it uses less digits than its factorization.

5407341408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

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

The square root of 5407341408 is about 73534.6272717826. The cubic root of 5407341408 is about 1755.2053350223.

It can be divided in two parts, 54073 and 41408, that added together give a square (95481 = 309²).

The spelling of 5407341408 in words is "five billion, four hundred seven million, three hundred forty-one thousand, four hundred eight".