4290511104 has 432 divisors, whose sum is σ = 14366736384. Its totient is φ = 1219276800.

The previous prime is 4290511097. The next prime is 4290511117. The reversal of 4290511104 is 4011150924.

4290511104 is a `hidden beast` number, since 42 + 9 + 0 + 511 + 104 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33783489 + ... + 33783615.

Almost surely, 2^4290511104 is an apocalyptic number.

4290511104 is a gapful number since it is divisible by the number (44) 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 4290511104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183368192).

4290511104 is an abundant number, since it is smaller than the sum of its proper divisors (10076225280).

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

4290511104 is a wasteful number, since it uses less digits than its factorization.

4290511104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4290511104 is about 65501.9931299804. The cubic root of 4290511104 is about 1624.9363104348.

The spelling of 4290511104 in words is "four billion, two hundred ninety million, five hundred eleven thousand, one hundred four".