1079378681472 has 1536 divisors, whose sum is σ = 4311362764800. Its totient is φ = 250822656000.

The previous prime is 1079378681347. The next prime is 1079378681477. The reversal of 1079378681472 is 2741868739701.

1079378681472 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 3 + 7 + 86 + 81 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1079378681477) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4300313347 + ... + 4300313597.

It is an arithmetic number, because the mean of its divisors is an integer number (2806876800).

Almost surely, 2^{1079378681472} is an apocalyptic number.

1079378681472 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 1079378681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155681382400).

1079378681472 is an abundant number, since it is smaller than the sum of its proper divisors (3231984083328).

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

1079378681472 is a wasteful number, since it uses less digits than its factorization.

1079378681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 1079378681472 in words is "one trillion, seventy-nine billion, three hundred seventy-eight million, six hundred eighty-one thousand, four hundred seventy-two".