7411461120 has 1056 divisors, whose sum is σ = 32617847808. Its totient is φ = 1576599552.

The previous prime is 7411461107. The next prime is 7411461131. The reversal of 7411461120 is 211641147.

7411461120 is a `hidden beast` number, since 7 + 41 + 1 + 4 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200309742 + ... + 200309778.

Almost surely, 2^7411461120 is an apocalyptic number.

7411461120 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 7411461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308923904).

7411461120 is an abundant number, since it is smaller than the sum of its proper divisors (25206386688).

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

7411461120 is a wasteful number, since it uses less digits than its factorization.

7411461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 7411461120 is about 86089.8433033770. The cubic root of 7411461120 is about 1949.7006877877.

The spelling of 7411461120 in words is "seven billion, four hundred eleven million, four hundred sixty-one thousand, one hundred twenty".