1007042418800 has 120 divisors (see below), whose sum is σ = 2640256704720. Its totient is φ = 366073753600.

The previous prime is 1007042418779. The next prime is 1007042418803. The reversal of 1007042418800 is 88142407001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007042418803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13554554 + ... + 13628646.

It is an arithmetic number, because the mean of its divisors is an integer number (22002139206).

Almost surely, 2^{1007042418800} is an apocalyptic number.

1007042418800 is a gapful number since it is divisible by the number (10) 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 1007042418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320128352360).

1007042418800 is an abundant number, since it is smaller than the sum of its proper divisors (1633214285920).

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

1007042418800 is a wasteful number, since it uses less digits than its factorization.

1007042418800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77211 (or 77200 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The spelling of 1007042418800 in words is "one trillion, seven billion, forty-two million, four hundred eighteen thousand, eight hundred".