82738040400340 has 48 divisors (see below), whose sum is σ = 187705529745552. Its totient is φ = 30453059828736.

The previous prime is 82738040400299. The next prime is 82738040400397. The reversal of 82738040400340 is 4300404083728.

It can be written as a sum of positive squares in 8 ways, for example, as 13813308823876 + 68924731576464 = 3716626^2 + 8302092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501846969 + ... + 502011808.

It is an arithmetic number, because the mean of its divisors is an integer number (3910531869699).

Almost surely, 2^{82738040400340} is an apocalyptic number.

It is an amenable number.

82738040400340 is an abundant number, since it is smaller than the sum of its proper divisors (104967489345212).

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

82738040400340 is a wasteful number, since it uses less digits than its factorization.

82738040400340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003859116 (or 1003859114 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 82738040400340 in words is "eighty-two trillion, seven hundred thirty-eight billion, forty million, four hundred thousand, three hundred forty".