4100047392 has 144 divisors (see below), whose sum is σ = 12982358592. Its totient is φ = 1109721600.

The previous prime is 4100047337. The next prime is 4100047423. The reversal of 4100047392 is 2937400014.

It is a happy number.

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, 234142 + ... + 251042.

It is an arithmetic number, because the mean of its divisors is an integer number (90155268).

Almost surely, 2^4100047392 is an apocalyptic number.

4100047392 is a gapful number since it is divisible by the number (42) 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 4100047392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491179296).

4100047392 is an abundant number, since it is smaller than the sum of its proper divisors (8882311200).

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

4100047392 is a wasteful number, since it uses less digits than its factorization.

4100047392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16959 (or 16932 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4100047392 is about 64031.6124426053. The cubic root of 4100047392 is about 1600.5268306785.

The spelling of 4100047392 in words is "four billion, one hundred million, forty-seven thousand, three hundred ninety-two".