1023959201949 has 40 divisors (see below), whose sum is σ = 1563605017920. Its totient is φ = 667591663104.

The previous prime is 1023959201933. The next prime is 1023959201981. The reversal of 1023959201949 is 9491029593201.

1023959201949 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 9 + 592 + 0 + 1 + 9 + 49 = 666.

It is not a de Polignac number, because 1023959201949 - 2⁴ = 1023959201933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023959201895 and 1023959201904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023959201989) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 367264 + ... + 1477430.

It is an arithmetic number, because the mean of its divisors is an integer number (39090125448).

Almost surely, 2^{1023959201949} is an apocalyptic number.

It is an amenable number.

1023959201949 is a deficient number, since it is larger than the sum of its proper divisors (539645815971).

1023959201949 is a wasteful number, since it uses less digits than its factorization.

1023959201949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110431 (or 1110422 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 1023959201949 in words is "one trillion, twenty-three billion, nine hundred fifty-nine million, two hundred one thousand, nine hundred forty-nine".