4826514401280 has 3072 divisors, whose sum is σ = 21968929382400. Its totient is φ = 986940702720.

The previous prime is 4826514401273. The next prime is 4826514401281. The reversal of 4826514401280 is 821044156284.

4826514401280 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 514 + 4 + 0 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4826514401281) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28901283757 + ... + 28901283923.

It is an arithmetic number, because the mean of its divisors is an integer number (7151344200).

Almost surely, 2^{4826514401280} is an apocalyptic number.

4826514401280 is a gapful number since it is divisible by the number (40) 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 4826514401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10984464691200).

4826514401280 is an abundant number, since it is smaller than the sum of its proper divisors (17142414981120).

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

4826514401280 is a wasteful number, since it uses less digits than its factorization.

4826514401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 4826514401280 in words is "four trillion, eight hundred twenty-six billion, five hundred fourteen million, four hundred one thousand, two hundred eighty".