7142411840 has 56 divisors (see below), whose sum is σ = 17039719032. Its totient is φ = 2851614720.

The previous prime is 7142411839. The next prime is 7142411863. The reversal of 7142411840 is 481142417.

It can be written as a sum of positive squares in 4 ways, for example, as 205520896 + 6936890944 = 14336^2 + 83288^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7142411797 and 7142411806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152492 + ... + 193748.

It is an arithmetic number, because the mean of its divisors is an integer number (304280697).

Almost surely, 2^7142411840 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 7142411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519859516).

7142411840 is an abundant number, since it is smaller than the sum of its proper divisors (9897307192).

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

7142411840 is a wasteful number, since it uses less digits than its factorization.

7142411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41815 (or 41805 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 7142411840 is about 84512.7909845604. The cubic root of 7142411840 is about 1925.8167638778.

The spelling of 7142411840 in words is "seven billion, one hundred forty-two million, four hundred eleven thousand, eight hundred forty".