1934824404942 has 768 divisors, whose sum is σ = 5654591078400. Its totient is φ = 484009344000.

The previous prime is 1934824404889. The next prime is 1934824405079. The reversal of 1934824404942 is 2494044284391.

1934824404942 is a `hidden beast` number, since 1 + 9 + 34 + 82 + 4 + 40 + 494 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2542475842 + ... + 2542476602.

It is an arithmetic number, because the mean of its divisors is an integer number (7362748800).

Almost surely, 2^{1934824404942} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1934824404942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827295539200).

1934824404942 is an abundant number, since it is smaller than the sum of its proper divisors (3719766673458).

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

1934824404942 is a wasteful number, since it uses less digits than its factorization.

1934824404942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1934824404942 in words is "one trillion, nine hundred thirty-four billion, eight hundred twenty-four million, four hundred four thousand, nine hundred forty-two".