1007417143104 has 56 divisors (see below), whose sum is σ = 2757370212960. Its totient is φ = 324226205184.

The previous prime is 1007417143093. The next prime is 1007417143111. The reversal of 1007417143104 is 4013417147001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90459334 + ... + 90470469.

Almost surely, 2^{1007417143104} is an apocalyptic number.

It is an amenable number.

1007417143104 is an abundant number, since it is smaller than the sum of its proper divisors (1749953069856).

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

1007417143104 is a wasteful number, since it uses less digits than its factorization.

1007417143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180929847 (or 180929837 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 1007417143104 in words is "one trillion, seven billion, four hundred seventeen million, one hundred forty-three thousand, one hundred four".