4534155311440 has 80 divisors (see below), whose sum is σ = 11236936928400. Its totient is φ = 1695519825920.

The previous prime is 4534155311431. The next prime is 4534155311443. The reversal of 4534155311440 is 441135514354.

It can be written as a sum of positive squares in 8 ways, for example, as 286088056384 + 4248067255056 = 534872^2 + 2061084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4534155311393 and 4534155311402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4534155311443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10985071 + ... + 11390350.

It is an arithmetic number, because the mean of its divisors is an integer number (140461711605).

Almost surely, 2^{4534155311440} is an apocalyptic number.

4534155311440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4534155311440 is an abundant number, since it is smaller than the sum of its proper divisors (6702781616960).

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

4534155311440 is a wasteful number, since it uses less digits than its factorization.

4534155311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22375600 (or 22375594 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 4534155311440 in words is "four trillion, five hundred thirty-four billion, one hundred fifty-five million, three hundred eleven thousand, four hundred forty".