7141961970 has 672 divisors, whose sum is σ = 24885563904. Its totient is φ = 1455667200.

The previous prime is 7141961969. The next prime is 7141961989. The reversal of 7141961970 is 791691417.

7141961970 is a `hidden beast` number, since 7 + 14 + 19 + 619 + 7 + 0 = 666.

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

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 335 ways as a sum of consecutive naturals, for example, 230385855 + ... + 230385885.

Almost surely, 2^7141961970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7141961970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442781952).

7141961970 is an abundant number, since it is smaller than the sum of its proper divisors (17743601934).

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

7141961970 is a wasteful number, since it uses less digits than its factorization.

7141961970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The square root of 7141961970 is about 84510.1293928722. The cubic root of 7141961970 is about 1925.7763300394.

The spelling of 7141961970 in words is "seven billion, one hundred forty-one million, nine hundred sixty-one thousand, nine hundred seventy".