1401033568 has 96 divisors (see below), whose sum is σ = 3104462592. Its totient is φ = 616896000.

The previous prime is 1401033553. The next prime is 1401033581. The reversal of 1401033568 is 8653301041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285230 + ... + 2285842.

It is an arithmetic number, because the mean of its divisors is an integer number (32338152).

Almost surely, 2^1401033568 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 1401033568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552231296).

1401033568 is an abundant number, since it is smaller than the sum of its proper divisors (1703429024).

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

1401033568 is a wasteful number, since it uses less digits than its factorization.

1401033568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1401033568 is about 37430.3829528900. The cubic root of 1401033568 is about 1118.9641698606.

The spelling of 1401033568 in words is "one billion, four hundred one million, thirty-three thousand, five hundred sixty-eight".