1084780430400 has 168 divisors, whose sum is σ = 3580297721280. Its totient is φ = 287542384640.

The previous prime is 1084780430369. The next prime is 1084780430471. The reversal of 1084780430400 is 40340874801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124966 + ... + 1478234.

It is an arithmetic number, because the mean of its divisors is an integer number (21311295960).

Almost surely, 2^{1084780430400} is an apocalyptic number.

1084780430400 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 1084780430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790148860640).

1084780430400 is an abundant number, since it is smaller than the sum of its proper divisors (2495517290880).

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

1084780430400 is a wasteful number, since it uses less digits than its factorization.

1084780430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353461 (or 1353446 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 1084780430400 in words is "one trillion, eighty-four billion, seven hundred eighty million, four hundred thirty thousand, four hundred".