1405302342552 has 96 divisors (see below), whose sum is σ = 3875544691200. Its totient is φ = 459954173952.

The previous prime is 1405302342551. The next prime is 1405302342557. The reversal of 1405302342552 is 2552432035041.

1405302342552 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 302 + 342 + 5 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405302342551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94774 + ... + 1679162.

It is an arithmetic number, because the mean of its divisors is an integer number (40370257200).

Almost surely, 2^{1405302342552} is an apocalyptic number.

1405302342552 is a gapful number since it is divisible by the number (12) 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 1405302342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937772345600).

1405302342552 is an abundant number, since it is smaller than the sum of its proper divisors (2470242348648).

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

1405302342552 is a wasteful number, since it uses less digits than its factorization.

1405302342552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584625 (or 1584618 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 1405302342552 its reverse (2552432035041), we get a palindrome (3957734377593).

The spelling of 1405302342552 in words is "one trillion, four hundred five billion, three hundred two million, three hundred forty-two thousand, five hundred fifty-two".