7001541120 has 640 divisors, whose sum is σ = 27831361536. Its totient is φ = 1465122816.

The previous prime is 7001541109. The next prime is 7001541181. The reversal of 7001541120 is 211451007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 42954159 + ... + 42954321.

Almost surely, 2^7001541120 is an apocalyptic number.

7001541120 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 7001541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13915680768).

7001541120 is an abundant number, since it is smaller than the sum of its proper divisors (20829820416).

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

7001541120 is a wasteful number, since it uses less digits than its factorization.

7001541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 7001541120 is about 83675.2121001196. The cubic root of 7001541120 is about 1913.0715561144.

Adding to 7001541120 its reverse (211451007), we get a palindrome (7212992127).

The spelling of 7001541120 in words is "seven billion, one million, five hundred forty-one thousand, one hundred twenty".