1079126798400 has 672 divisors, whose sum is σ = 4501272257280. Its totient is φ = 246356951040.

The previous prime is 1079126798381. The next prime is 1079126798411. The reversal of 1079126798400 is 48976219701.

1079126798400 is a `hidden beast` number, since 1 + 0 + 7 + 91 + 2 + 67 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331731174 + ... + 331734426.

Almost surely, 2^{1079126798400} is an apocalyptic number.

1079126798400 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 1079126798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250636128640).

1079126798400 is an abundant number, since it is smaller than the sum of its proper divisors (3422145458880).

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

1079126798400 is a wasteful number, since it uses less digits than its factorization.

1079126798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1079126798400 in words is "one trillion, seventy-nine billion, one hundred twenty-six million, seven hundred ninety-eight thousand, four hundred".