4535154066240 has 896 divisors, whose sum is σ = 18822419251200. Its totient is φ = 1006246748160.

The previous prime is 4535154066211. The next prime is 4535154066241. The reversal of 4535154066240 is 426604515354.

4535154066240 is a `hidden beast` number, since 4 + 5 + 3 + 5 + 1 + 540 + 6 + 62 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4535154066241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1071884925 + ... + 1071889155.

Almost surely, 2^{4535154066240} is an apocalyptic number.

4535154066240 is a gapful number since it is divisible by the number (40) 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 4535154066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411209625600).

4535154066240 is an abundant number, since it is smaller than the sum of its proper divisors (14287265184960).

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

4535154066240 is a wasteful number, since it uses less digits than its factorization.

4535154066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 4535154066240 in words is "four trillion, five hundred thirty-five billion, one hundred fifty-four million, sixty-six thousand, two hundred forty".