711221080227840 has 2560 divisors, whose sum is σ = 3248345092608000. Its totient is φ = 143505594777600.

The previous prime is 711221080227839. The next prime is 711221080227869. The reversal of 711221080227840 is 48722080122117.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×711221080227840² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 148140193440 + ... + 148140198240.

It is an arithmetic number, because the mean of its divisors is an integer number (1268884801800).

Almost surely, 2^{711221080227840} is an apocalyptic number.

711221080227840 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 711221080227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624172546304000).

711221080227840 is an abundant number, since it is smaller than the sum of its proper divisors (2537124012380160).

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

711221080227840 is an equidigital number, since it uses as much as digits as its factorization.

711221080227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4854 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 711221080227840 in words is "seven hundred eleven trillion, two hundred twenty-one billion, eighty million, two hundred twenty-seven thousand, eight hundred forty".