803959687440 has 3360 divisors, whose sum is σ = 3971434561920. Its totient is φ = 148988657664.

The previous prime is 803959687429. The next prime is 803959687463. The reversal of 803959687440 is 44786959308.

803959687440 is a `hidden beast` number, since 8 + 0 + 39 + 596 + 8 + 7 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 11999398287 + ... + 11999398353.

It is an arithmetic number, because the mean of its divisors is an integer number (1181974572).

Almost surely, 2^803959687440 is an apocalyptic number.

803959687440 is a gapful number since it is divisible by the number (80) 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 803959687440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985717280960).

803959687440 is an abundant number, since it is smaller than the sum of its proper divisors (3167474874480).

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

803959687440 is a wasteful number, since it uses less digits than its factorization.

803959687440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 803959687440 in words is "eight hundred three billion, nine hundred fifty-nine million, six hundred eighty-seven thousand, four hundred forty".