5410942006080 has 1008 divisors, whose sum is σ = 20302177409280. Its totient is φ = 1219304226816.

The previous prime is 5410942006031. The next prime is 5410942006121. The reversal of 5410942006080 is 806002490145.

It is a super-3 number, since 3×5410942006080³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1734830761 + ... + 1734833879.

Almost surely, 2^{5410942006080} 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 5410942006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151088704640).

5410942006080 is an abundant number, since it is smaller than the sum of its proper divisors (14891235403200).

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

5410942006080 is a wasteful number, since it uses less digits than its factorization.

5410942006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 5410942006080 in words is "five trillion, four hundred ten billion, nine hundred forty-two million, six thousand, eighty".