7141688232 has 256 divisors, whose sum is σ = 22685184000. Its totient is φ = 1826592768.

The previous prime is 7141688189. The next prime is 7141688273. The reversal of 7141688232 is 2328861417.

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

It is a nude number because it is divisible by every one of its digits.

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, 6533478 + ... + 6534570.

It is an arithmetic number, because the mean of its divisors is an integer number (88614000).

Almost surely, 2^7141688232 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 7141688232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11342592000).

7141688232 is an abundant number, since it is smaller than the sum of its proper divisors (15543495768).

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

7141688232 is a wasteful number, since it uses less digits than its factorization.

7141688232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1236 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 7141688232 is about 84508.5098200175. The cubic root of 7141688232 is about 1925.7517259274.

The spelling of 7141688232 in words is "seven billion, one hundred forty-one million, six hundred eighty-eight thousand, two hundred thirty-two".