1079411432400 has 240 divisors, whose sum is σ = 4390749033600. Its totient is φ = 246722595840.

The previous prime is 1079411432353. The next prime is 1079411432413. The reversal of 1079411432400 is 42341149701.

1079411432400 is a `hidden beast` number, since 1 + 0 + 79 + 41 + 143 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7063365 + ... + 7214564.

It is an arithmetic number, because the mean of its divisors is an integer number (18294787640).

Almost surely, 2^{1079411432400} is an apocalyptic number.

1079411432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1079411432400 is an abundant number, since it is smaller than the sum of its proper divisors (3311337601200).

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

1079411432400 is a wasteful number, since it uses less digits than its factorization.

1079411432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14277963 (or 14277946 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1079411432400 in words is "one trillion, seventy-nine billion, four hundred eleven million, four hundred thirty-two thousand, four hundred".