7161383040 has 256 divisors, whose sum is σ = 27223326720. Its totient is φ = 1565650944.

The previous prime is 7161382973. The next prime is 7161383051. The reversal of 7161383040 is 403831617.

It is a super-3 number, since 3×7161383040³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7161382992 and 7161383010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297537 + ... + 320703.

It is an arithmetic number, because the mean of its divisors is an integer number (106341120).

Almost surely, 2^7161383040 is an apocalyptic number.

7161383040 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 7161383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13611663360).

7161383040 is an abundant number, since it is smaller than the sum of its proper divisors (20061943680).

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

7161383040 is a wasteful number, since it uses less digits than its factorization.

7161383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23219 (or 23207 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 7161383040 is about 84624.9551846262. The cubic root of 7161383040 is about 1927.5203319968.

The spelling of 7161383040 in words is "seven billion, one hundred sixty-one million, three hundred eighty-three thousand, forty".