1278060417792 has 432 divisors, whose sum is σ = 4032833077728. Its totient is φ = 387663790080.

The previous prime is 1278060417791. The next prime is 1278060417847. The reversal of 1278060417792 is 2977140608721.

1278060417792 is a `hidden beast` number, since 1 + 2 + 7 + 80 + 60 + 417 + 7 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1278060417791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181461823 + ... + 181468865.

It is an arithmetic number, because the mean of its divisors is an integer number (9335261754).

Almost surely, 2^{1278060417792} is an apocalyptic number.

1278060417792 is a gapful number since it is divisible by the number (12) 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 1278060417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016416538864).

1278060417792 is an abundant number, since it is smaller than the sum of its proper divisors (2754772659936).

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

1278060417792 is a wasteful number, since it uses less digits than its factorization.

1278060417792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7236 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 1278060417792 in words is "one trillion, two hundred seventy-eight billion, sixty million, four hundred seventeen thousand, seven hundred ninety-two".