1401598560 has 96 divisors (see below), whose sum is σ = 4420694880. Its totient is φ = 373280768.

The previous prime is 1401598553. The next prime is 1401598579. The reversal of 1401598560 is 658951041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 531004 + ... + 533636.

It is an arithmetic number, because the mean of its divisors is an integer number (46048905).

Almost surely, 2^1401598560 is an apocalyptic number.

1401598560 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 1401598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210347440).

1401598560 is an abundant number, since it is smaller than the sum of its proper divisors (3019096320).

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

1401598560 is a wasteful number, since it uses less digits than its factorization.

1401598560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1401598560 is about 37437.9294299244. The cubic root of 1401598560 is about 1119.1145637923.

It can be divided in two parts, 14015 and 98560, that added together give a triangular number (112575 = T₄₇₄).

The spelling of 1401598560 in words is "one billion, four hundred one million, five hundred ninety-eight thousand, five hundred sixty".