4545123840 has 400 divisors, whose sum is σ = 17004813408. Its totient is φ = 1158119424.

The previous prime is 4545123833. The next prime is 4545123841. The reversal of 4545123840 is 483215454.

It is a happy number.

4545123840 is a `hidden beast` number, since 454 + 5 + 123 + 84 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4545123795 and 4545123804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4545123841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4768804 + ... + 4769756.

Almost surely, 2^4545123840 is an apocalyptic number.

4545123840 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 4545123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502406704).

4545123840 is an abundant number, since it is smaller than the sum of its proper divisors (12459689568).

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

4545123840 is an equidigital number, since it uses as much as digits as its factorization.

4545123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4545123840 is about 67417.5336244215. The cubic root of 4545123840 is about 1656.4636382968.

The spelling of 4545123840 in words is "four billion, five hundred forty-five million, one hundred twenty-three thousand, eight hundred forty".