4133378592 has 384 divisors, whose sum is σ = 14360371200. Its totient is φ = 1132185600.

The previous prime is 4133378581. The next prime is 4133378603. The reversal of 4133378592 is 2958733314.

4133378592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4133378581) and next prime (4133378603).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19589367 + ... + 19589577.

It is an arithmetic number, because the mean of its divisors is an integer number (37396800).

Almost surely, 2^4133378592 is an apocalyptic number.

4133378592 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 4133378592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7180185600).

4133378592 is an abundant number, since it is smaller than the sum of its proper divisors (10226992608).

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

4133378592 is a wasteful number, since it uses less digits than its factorization.

4133378592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 4133378592 is about 64291.3570552061. The cubic root of 4133378592 is about 1604.8522739396.

The spelling of 4133378592 in words is "four billion, one hundred thirty-three million, three hundred seventy-eight thousand, five hundred ninety-two".