712435082040 has 960 divisors, whose sum is σ = 2764370568960. Its totient is φ = 164400192000.

The previous prime is 712435082039. The next prime is 712435082069. The reversal of 712435082040 is 40280534217.

It is a happy number.

712435082040 is a `hidden beast` number, since 7 + 12 + 435 + 0 + 8 + 204 + 0 = 666.

It is a super-2 number, since 2×712435082040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 712435081986 and 712435082004.

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 239 ways as a sum of consecutive naturals, for example, 11679263610 + ... + 11679263670.

It is an arithmetic number, because the mean of its divisors is an integer number (2879552676).

Almost surely, 2^712435082040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712435082040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382185284480).

712435082040 is an abundant number, since it is smaller than the sum of its proper divisors (2051935486920).

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

712435082040 is a wasteful number, since it uses less digits than its factorization.

712435082040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 712435082040 in words is "seven hundred twelve billion, four hundred thirty-five million, eighty-two thousand, forty".