7151746842240 has 4096 divisors, whose sum is σ = 35021531381760. Its totient is φ = 1191208550400.

The previous prime is 7151746842221. The next prime is 7151746842269. The reversal of 7151746842240 is 422486471517.

It is a super-2 number, since 2×7151746842240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 511 ways as a sum of consecutive naturals, for example, 23295592167 + ... + 23295592473.

It is an arithmetic number, because the mean of its divisors is an integer number (8550178560).

Almost surely, 2^{7151746842240} is an apocalyptic number.

7151746842240 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 7151746842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510765690880).

7151746842240 is an abundant number, since it is smaller than the sum of its proper divisors (27869784539520).

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

7151746842240 is a wasteful number, since it uses less digits than its factorization.

7151746842240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 7151746842240 in words is "seven trillion, one hundred fifty-one billion, seven hundred forty-six million, eight hundred forty-two thousand, two hundred forty".