1471716449280 has 1760 divisors, whose sum is σ = 6964467028992. Its totient is φ = 287716147200.

The previous prime is 1471716449279. The next prime is 1471716449339. The reversal of 1471716449280 is 829446171741.

1471716449280 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 71 + 6 + 4 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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 159 ways as a sum of consecutive naturals, for example, 542867125 + ... + 542869835.

Almost surely, 2^{1471716449280} is an apocalyptic number.

1471716449280 is a gapful number since it is divisible by the number (10) 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 1471716449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482233514496).

1471716449280 is an abundant number, since it is smaller than the sum of its proper divisors (5492750579712).

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

1471716449280 is a wasteful number, since it uses less digits than its factorization.

1471716449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

It can be divided in two parts, 1471716 and 449280, that added together give a square (1920996 = 1386²).

The spelling of 1471716449280 in words is "one trillion, four hundred seventy-one billion, seven hundred sixteen million, four hundred forty-nine thousand, two hundred eighty".