5406714593280 has 3840 divisors, whose sum is σ = 26931663823680. Its totient is φ = 1009023713280.

The previous prime is 5406714593233. The next prime is 5406714593299. The reversal of 5406714593280 is 823954176045.

It is a happy number.

5406714593280 is a `hidden beast` number, since 5 + 40 + 6 + 7 + 1 + 4 + 593 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-4 number, since 4×5406714593280⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146127421422 + ... + 146127421458.

It is a 1-persistent number, because it is pandigital, but 2⋅5406714593280 = 10813429186560 is not.

Almost surely, 2^{5406714593280} 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 5406714593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465831911840).

5406714593280 is an abundant number, since it is smaller than the sum of its proper divisors (21524949230400).

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

5406714593280 is a wasteful number, since it uses less digits than its factorization.

5406714593280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5406714593280 in words is "five trillion, four hundred six billion, seven hundred fourteen million, five hundred ninety-three thousand, two hundred eighty".