792428419440 has 960 divisors, whose sum is σ = 3260394892800. Its totient is φ = 176323682304.

The previous prime is 792428419427. The next prime is 792428419451. The reversal of 792428419440 is 44914824297.

792428419440 is a `hidden beast` number, since 7 + 92 + 428 + 4 + 1 + 94 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 705634719 + ... + 705635841.

It is an arithmetic number, because the mean of its divisors is an integer number (3396244680).

Almost surely, 2^792428419440 is an apocalyptic number.

792428419440 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 792428419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630197446400).

792428419440 is an abundant number, since it is smaller than the sum of its proper divisors (2467966473360).

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

792428419440 is a wasteful number, since it uses less digits than its factorization.

792428419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 792428419440 in words is "seven hundred ninety-two billion, four hundred twenty-eight million, four hundred nineteen thousand, four hundred forty".