712124369040 has 640 divisors, whose sum is σ = 2705381130240. Its totient is φ = 151525324800.

The previous prime is 712124369029. The next prime is 712124369051. The reversal of 712124369040 is 40963421217.

It is an interprime number because it is at equal distance from previous prime (712124369029) and next prime (712124369051).

It is a super-2 number, since 2×712124369040² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 712124369040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144415375 + ... + 144420305.

It is an arithmetic number, because the mean of its divisors is an integer number (4227158016).

Almost surely, 2^712124369040 is an apocalyptic number.

712124369040 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 712124369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352690565120).

712124369040 is an abundant number, since it is smaller than the sum of its proper divisors (1993256761200).

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

712124369040 is a wasteful number, since it uses less digits than its factorization.

712124369040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 712124369040 in words is "seven hundred twelve billion, one hundred twenty-four million, three hundred sixty-nine thousand, forty".