1401528960 has 512 divisors, whose sum is σ = 5675443200. Its totient is φ = 323813376.

The previous prime is 1401528937. The next prime is 1401528983. The reversal of 1401528960 is 698251041.

1401528960 is a `hidden beast` number, since 1 + 40 + 1 + 528 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1401528937) and next prime (1401528983).

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

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 63 ways as a sum of consecutive naturals, for example, 3818697 + ... + 3819063.

It is an arithmetic number, because the mean of its divisors is an integer number (11084850).

Almost surely, 2^1401528960 is an apocalyptic number.

1401528960 is a gapful number since it is divisible by the number (10) 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 1401528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837721600).

1401528960 is an abundant number, since it is smaller than the sum of its proper divisors (4273914240).

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

1401528960 is a wasteful number, since it uses less digits than its factorization.

1401528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1401528960 is about 37436.9998797981. Note that the first 3 decimals coincide. The cubic root of 1401528960 is about 1119.0960393101.

The spelling of 1401528960 in words is "one billion, four hundred one million, five hundred twenty-eight thousand, nine hundred sixty".