4540249324800 has 3024 divisors, whose sum is σ = 20404730763648. Its totient is φ = 978208358400.

The previous prime is 4540249324777. The next prime is 4540249324823. The reversal of 4540249324800 is 84239420454.

4540249324800 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 249 + 324 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4540249324777) and next prime (4540249324823).

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×4540249324800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 74430316770 + ... + 74430316830.

It is an arithmetic number, because the mean of its divisors is an integer number (6747596152).

Almost surely, 2^{4540249324800} is an apocalyptic number.

4540249324800 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 4540249324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202365381824).

4540249324800 is an abundant number, since it is smaller than the sum of its proper divisors (15864481438848).

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

4540249324800 is an equidigital number, since it uses as much as digits as its factorization.

4540249324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4540249324800 in words is "four trillion, five hundred forty billion, two hundred forty-nine million, three hundred twenty-four thousand, eight hundred".