82202251440 has 40 divisors (see below), whose sum is σ = 254826980208. Its totient is φ = 21920600320.

The previous prime is 82202251429. The next prime is 82202251451. The reversal of 82202251440 is 4415220228.

It is an interprime number because it is at equal distance from previous prime (82202251429) and next prime (82202251451).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82202251398 and 82202251407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171254451 + ... + 171254930.

Almost surely, 2^82202251440 is an apocalyptic number.

82202251440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82202251440 is an abundant number, since it is smaller than the sum of its proper divisors (172624728768).

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

82202251440 is a wasteful number, since it uses less digits than its factorization.

82202251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342509397 (or 342509391 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 82202251440 its reverse (4415220228), we get a palindrome (86617471668).

The spelling of 82202251440 in words is "eighty-two billion, two hundred two million, two hundred fifty-one thousand, four hundred forty".