4033474560 has 312 divisors, whose sum is σ = 14209091520. Its totient is φ = 1058144256.

The previous prime is 4033474559. The next prime is 4033474567. The reversal of 4033474560 is 654743304.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033474567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14561142 + ... + 14561418.

It is an arithmetic number, because the mean of its divisors is an integer number (45541960).

Almost surely, 2^4033474560 is an apocalyptic number.

4033474560 is a gapful number since it is divisible by the number (40) 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 4033474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7104545760).

4033474560 is an abundant number, since it is smaller than the sum of its proper divisors (10175616960).

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

4033474560 is a wasteful number, since it uses less digits than its factorization.

4033474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4033474560 is about 63509.6414727717. The cubic root of 4033474560 is about 1591.8168859192.

The spelling of 4033474560 in words is "four billion, thirty-three million, four hundred seventy-four thousand, five hundred sixty".