1046082078720 has 576 divisors, whose sum is σ = 4156295794560. Its totient is φ = 238364393472.

The previous prime is 1046082078677. The next prime is 1046082078781. The reversal of 1046082078720 is 278702806401.

1046082078720 is a `hidden beast` number, since 10 + 4 + 608 + 2 + 0 + 7 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 223854304 + ... + 223858976.

It is an arithmetic number, because the mean of its divisors is an integer number (7215791310).

Almost surely, 2^{1046082078720} is an apocalyptic number.

1046082078720 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 1046082078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078147897280).

1046082078720 is an abundant number, since it is smaller than the sum of its proper divisors (3110213715840).

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

1046082078720 is a wasteful number, since it uses less digits than its factorization.

1046082078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1046082078720 in words is "one trillion, forty-six billion, eighty-two million, seventy-eight thousand, seven hundred twenty".