794086151040 has 768 divisors, whose sum is σ = 3421262033280. Its totient is φ = 165240373248.

The previous prime is 794086151039. The next prime is 794086151087. The reversal of 794086151040 is 40151680497.

794086151040 is a `hidden beast` number, since 7 + 94 + 0 + 8 + 6 + 1 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38253304 + ... + 38274056.

Almost surely, 2^794086151040 is an apocalyptic number.

794086151040 is a gapful number since it is divisible by the number (70) 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 794086151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710631016640).

794086151040 is an abundant number, since it is smaller than the sum of its proper divisors (2627175882240).

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

794086151040 is a wasteful number, since it uses less digits than its factorization.

794086151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20871 (or 20856 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 794086151040 in words is "seven hundred ninety-four billion, eighty-six million, one hundred fifty-one thousand, forty".