1002126083904 has 168 divisors, whose sum is σ = 3147350645088. Its totient is φ = 302336363520.

The previous prime is 1002126083863. The next prime is 1002126083909. The reversal of 1002126083904 is 4093806212001.

1002126083904 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 260 + 8 + 390 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002126083909) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1089894 + ... + 1786650.

Almost surely, 2^{1002126083904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002126083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573675322544).

1002126083904 is an abundant number, since it is smaller than the sum of its proper divisors (2145224561184).

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

1002126083904 is a wasteful number, since it uses less digits than its factorization.

1002126083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697013 (or 697000 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1002126083904 in words is "one trillion, two billion, one hundred twenty-six million, eighty-three thousand, nine hundred four".