1008723662940 has 192 divisors, whose sum is σ = 3265128889344. Its totient is φ = 227913080832.

The previous prime is 1008723662939. The next prime is 1008723662941. The reversal of 1008723662940 is 492663278001.

It is an interprime number because it is at equal distance from previous prime (1008723662939) and next prime (1008723662941).

It is a self number, because there is not a number n which added to its sum of digits gives 1008723662940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008723662941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34736707 + ... + 34765733.

It is an arithmetic number, because the mean of its divisors is an integer number (17005879632).

Almost surely, 2^{1008723662940} is an apocalyptic number.

1008723662940 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 1008723662940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632564444672).

1008723662940 is an abundant number, since it is smaller than the sum of its proper divisors (2256405226404).

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

1008723662940 is a wasteful number, since it uses less digits than its factorization.

1008723662940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29996 (or 29994 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 1008723662940 in words is "one trillion, eight billion, seven hundred twenty-three million, six hundred sixty-two thousand, nine hundred forty".