9001402368 has 256 divisors, whose sum is σ = 27916861440. Its totient is φ = 2526806016.

The previous prime is 9001402367. The next prime is 9001402387. The reversal of 9001402368 is 8632041009.

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (9001402367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70877121 + ... + 70877247.

It is an arithmetic number, because the mean of its divisors is an integer number (109050240).

Almost surely, 2^9001402368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9001402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13958430720).

9001402368 is an abundant number, since it is smaller than the sum of its proper divisors (18915459072).

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

9001402368 is a wasteful number, since it uses less digits than its factorization.

9001402368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 9001402368 is about 94875.7206454844. The cubic root of 9001402368 is about 2080.1918560702.

The spelling of 9001402368 in words is "nine billion, one million, four hundred two thousand, three hundred sixty-eight".