1304872777440 has 288 divisors, whose sum is σ = 4598222743296. Its totient is φ = 336616611840.

The previous prime is 1304872777367. The next prime is 1304872777463. The reversal of 1304872777440 is 447772784031.

1304872777440 is a `hidden beast` number, since 1 + 30 + 4 + 87 + 27 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228241462 + ... + 228247178.

It is an arithmetic number, because the mean of its divisors is an integer number (15966051192).

Almost surely, 2^{1304872777440} is an apocalyptic number.

1304872777440 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 1304872777440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299111371648).

1304872777440 is an abundant number, since it is smaller than the sum of its proper divisors (3293349965856).

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

1304872777440 is a wasteful number, since it uses less digits than its factorization.

1304872777440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 1304872777440 in words is "one trillion, three hundred four billion, eight hundred seventy-two million, seven hundred seventy-seven thousand, four hundred forty".