7116149040 has 640 divisors, whose sum is σ = 31198003200. Its totient is φ = 1292267520.

The previous prime is 7116149011. The next prime is 7116149071. The reversal of 7116149040 is 409416117.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 7116148992 and 7116149010.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4563781 + ... + 4565339.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 2^7116149040 is an apocalyptic number.

7116149040 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 7116149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599001600).

7116149040 is an abundant number, since it is smaller than the sum of its proper divisors (24081854160).

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

7116149040 is a wasteful number, since it uses less digits than its factorization.

7116149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7116149040 is about 84357.2702261044. The cubic root of 7116149040 is about 1923.4534418000.

The spelling of 7116149040 in words is "seven billion, one hundred sixteen million, one hundred forty-nine thousand, forty".