1009412607840 has 384 divisors, whose sum is σ = 4119387632640. Its totient is φ = 201765593088.

The previous prime is 1009412607803. The next prime is 1009412607887. The reversal of 1009412607840 is 487062149001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1009412607792 and 1009412607801.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 221782 + ... + 1438058.

It is an arithmetic number, because the mean of its divisors is an integer number (10727571960).

Almost surely, 2^{1009412607840} is an apocalyptic number.

1009412607840 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 1009412607840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059693816320).

1009412607840 is an abundant number, since it is smaller than the sum of its proper divisors (3109975024800).

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

1009412607840 is a wasteful number, since it uses less digits than its factorization.

1009412607840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216334 (or 1216326 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 1009412607840 in words is "one trillion, nine billion, four hundred twelve million, six hundred seven thousand, eight hundred forty".