540070828416 has 192 divisors, whose sum is σ = 1790114426880. Its totient is φ = 153090653184.

The previous prime is 540070828351. The next prime is 540070828457. The reversal of 540070828416 is 614828070045.

540070828416 is a `hidden beast` number, since 540 + 0 + 70 + 8 + 28 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760455 + ... + 1287801.

It is an arithmetic number, because the mean of its divisors is an integer number (9323512640).

Almost surely, 2^540070828416 is an apocalyptic number.

540070828416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540070828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895057213440).

540070828416 is an abundant number, since it is smaller than the sum of its proper divisors (1250043598464).

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

540070828416 is a wasteful number, since it uses less digits than its factorization.

540070828416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527501 (or 527486 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 540070828416 in words is "five hundred forty billion, seventy million, eight hundred twenty-eight thousand, four hundred sixteen".