1079336419200 has 2304 divisors, whose sum is σ = 4691253490560. Its totient is φ = 233570304000.

The previous prime is 1079336419153. The next prime is 1079336419219. The reversal of 1079336419200 is 29146339701.

1079336419200 is a `hidden beast` number, since 1 + 0 + 79 + 3 + 364 + 19 + 200 = 666.

It is a super-2 number, since 2×1079336419200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10686499150 + ... + 10686499250.

Almost surely, 2^{1079336419200} is an apocalyptic number.

1079336419200 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 1079336419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345626745280).

1079336419200 is an abundant number, since it is smaller than the sum of its proper divisors (3611917071360).

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

1079336419200 is a wasteful number, since it uses less digits than its factorization.

1079336419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1079336419200 in words is "one trillion, seventy-nine billion, three hundred thirty-six million, four hundred nineteen thousand, two hundred".