1041072782400 has 420 divisors, whose sum is σ = 4373400009088. Its totient is φ = 237959285760.

The previous prime is 1041072782389. The next prime is 1041072782443. The reversal of 1041072782400 is 42872701401.

1041072782400 is a `hidden beast` number, since 104 + 1 + 0 + 72 + 7 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

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 59 ways as a sum of consecutive naturals, for example, 333417 + ... + 1480983.

Almost surely, 2^{1041072782400} is an apocalyptic number.

1041072782400 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 1041072782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186700004544).

1041072782400 is an abundant number, since it is smaller than the sum of its proper divisors (3332327226688).

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

1041072782400 is a wasteful number, since it uses less digits than its factorization.

1041072782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147608 (or 1147584 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 1041072782400 in words is "one trillion, forty-one billion, seventy-two million, seven hundred eighty-two thousand, four hundred".