1401542560 has 192 divisors, whose sum is σ = 3863583360. Its totient is φ = 474808320.

The previous prime is 1401542557. The next prime is 1401542563. The reversal of 1401542560 is 652451041.

It is an interprime number because it is at equal distance from previous prime (1401542557) and next prime (1401542563).

It is not an unprimeable number, because it can be changed into a prime (1401542563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4158712 + ... + 4159048.

It is an arithmetic number, because the mean of its divisors is an integer number (20122830).

Almost surely, 2^1401542560 is an apocalyptic number.

1401542560 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 1401542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931791680).

1401542560 is an abundant number, since it is smaller than the sum of its proper divisors (2462040800).

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

1401542560 is a wasteful number, since it uses less digits than its factorization.

1401542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1401542560 is about 37437.1815178440. The cubic root of 1401542560 is about 1119.0996590847.

The spelling of 1401542560 in words is "one billion, four hundred one million, five hundred forty-two thousand, five hundred sixty".