1025782873434 has 192 divisors, whose sum is σ = 2634444933120. Its totient is φ = 285101856000.

The previous prime is 1025782873429. The next prime is 1025782873439. The reversal of 1025782873434 is 4343782875201.

It is a happy number.

1025782873434 is a `hidden beast` number, since 1 + 0 + 2 + 57 + 82 + 87 + 3 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (1025782873429) and next prime (1025782873439).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1025782873439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20180319 + ... + 20231085.

It is an arithmetic number, because the mean of its divisors is an integer number (13721067360).

Almost surely, 2^{1025782873434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025782873434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317222466560).

1025782873434 is an abundant number, since it is smaller than the sum of its proper divisors (1608662059686).

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

1025782873434 is a wasteful number, since it uses less digits than its factorization.

1025782873434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50977 (or 50974 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 1025782873434 in words is "one trillion, twenty-five billion, seven hundred eighty-two million, eight hundred seventy-three thousand, four hundred thirty-four".