5405103406080 has 880 divisors, whose sum is σ = 22734527910336. Its totient is φ = 1202037719040.

The previous prime is 5405103406069. The next prime is 5405103406081. The reversal of 5405103406080 is 806043015045.

It is a happy number.

5405103406080 is a `hidden beast` number, since 5 + 4 + 0 + 5 + 1 + 0 + 3 + 40 + 608 + 0 = 666.

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 (5405103406081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107387320 + ... + 107437640.

Almost surely, 2^{5405103406080} 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 5405103406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11367263955168).

5405103406080 is an abundant number, since it is smaller than the sum of its proper divisors (17329424504256).

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

5405103406080 is a wasteful number, since it uses less digits than its factorization.

5405103406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50402 (or 50375 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 5405103406080 in words is "five trillion, four hundred five billion, one hundred three million, four hundred six thousand, eighty".