1009690673940 has 144 divisors (see below), whose sum is σ = 3306160590096. Its totient is φ = 247948646400.

The previous prime is 1009690673933. The next prime is 1009690673941. The reversal of 1009690673940 is 493760969001.

1009690673940 is a `hidden beast` number, since 100 + 9 + 6 + 90 + 67 + 394 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 294106643856 + 715584030084 = 542316^2 + 845922^2 .

It is a super-2 number, since 2×1009690673940² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009690673941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472680 + ... + 1497600.

Almost surely, 2^{1009690673940} is an apocalyptic number.

1009690673940 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 1009690673940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653080295048).

1009690673940 is an abundant number, since it is smaller than the sum of its proper divisors (2296469916156).

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

1009690673940 is a wasteful number, since it uses less digits than its factorization.

1009690673940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025370 (or 1025365 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 1009690673940 in words is "one trillion, nine billion, six hundred ninety million, six hundred seventy-three thousand, nine hundred forty".