1401768264 has 64 divisors (see below), whose sum is σ = 3793708800. Its totient is φ = 429060096.

The previous prime is 1401768259. The next prime is 1401768287. The reversal of 1401768264 is 4628671041.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48577 + ... + 71855.

It is an arithmetic number, because the mean of its divisors is an integer number (59276700).

Almost surely, 2^1401768264 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 1401768264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896854400).

1401768264 is an abundant number, since it is smaller than the sum of its proper divisors (2391940536).

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

1401768264 is a wasteful number, since it uses less digits than its factorization.

1401768264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23494 (or 23490 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1401768264 is about 37440.1958328212. The cubic root of 1401768264 is about 1119.1597290198.

The spelling of 1401768264 in words is "one billion, four hundred one million, seven hundred sixty-eight thousand, two hundred sixty-four".