1007198236044 has 1512 divisors, whose sum is σ = 3813738270720. Its totient is φ = 226974908160.

The previous prime is 1007198236021. The next prime is 1007198236087. The reversal of 1007198236044 is 4406328917001.

1007198236044 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 19 + 8 + 23 + 604 + 4 = 666.

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 503 ways as a sum of consecutive naturals, for example, 7930694709 + ... + 7930694835.

Almost surely, 2^{1007198236044} is an apocalyptic number.

1007198236044 is a gapful number since it is divisible by the number (14) 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 1007198236044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906869135360).

1007198236044 is an abundant number, since it is smaller than the sum of its proper divisors (2806540034676).

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

1007198236044 is a wasteful number, since it uses less digits than its factorization.

1007198236044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1007198236044 in words is "one trillion, seven billion, one hundred ninety-eight million, two hundred thirty-six thousand, forty-four".