7541404416 has 216 divisors, whose sum is σ = 26762255520. Its totient is φ = 1988886528.

The previous prime is 7541404363. The next prime is 7541404439. The reversal of 7541404416 is 6144041457.

It is a happy number.

7541404416 is a `hidden beast` number, since 75 + 4 + 140 + 441 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191680 + ... + 227648.

Almost surely, 2^7541404416 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 7541404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381127760).

7541404416 is an abundant number, since it is smaller than the sum of its proper divisors (19220851104).

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

7541404416 is a wasteful number, since it uses less digits than its factorization.

7541404416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36011 (or 35994 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7541404416 is about 86841.2598711004. The cubic root of 7541404416 is about 1961.0292747466.

The spelling of 7541404416 in words is "seven billion, five hundred forty-one million, four hundred four thousand, four hundred sixteen".