7012271029344 has 384 divisors, whose sum is σ = 21488037322752. Its totient is φ = 1960962600960.

The previous prime is 7012271029331. The next prime is 7012271029457. The reversal of 7012271029344 is 4439201722107.

It is a super-2 number, since 2×7012271029344² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7012271029296 and 7012271029305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8182346164 + ... + 8182347020.

It is an arithmetic number, because the mean of its divisors is an integer number (55958430528).

Almost surely, 2^{7012271029344} 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 7012271029344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744018661376).

7012271029344 is an abundant number, since it is smaller than the sum of its proper divisors (14475766293408).

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

7012271029344 is a wasteful number, since it uses less digits than its factorization.

7012271029344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 7012271029344 in words is "seven trillion, twelve billion, two hundred seventy-one million, twenty-nine thousand, three hundred forty-four".