4292241408 has 384 divisors, whose sum is σ = 15667142400. Its totient is φ = 1130692608.

The previous prime is 4292241407. The next prime is 4292241419. The reversal of 4292241408 is 8041422924.

4292241408 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 241 + 408 = 666.

4292241408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (4292241403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031510 + ... + 5032362.

It is an arithmetic number, because the mean of its divisors is an integer number (40799850).

Almost surely, 2^4292241408 is an apocalyptic number.

4292241408 is a gapful number since it is divisible by the number (48) 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 4292241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833571200).

4292241408 is an abundant number, since it is smaller than the sum of its proper divisors (11374900992).

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

4292241408 is a wasteful number, since it uses less digits than its factorization.

4292241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4292241408 is about 65515.1998241629. The cubic root of 4292241408 is about 1625.1547192172.

The spelling of 4292241408 in words is "four billion, two hundred ninety-two million, two hundred forty-one thousand, four hundred eight".