4074624328544 has 192 divisors, whose sum is σ = 10847954460672. Its totient is φ = 1457689804800.

The previous prime is 4074624328499. The next prime is 4074624328549. The reversal of 4074624328544 is 4458234264704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074624328549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531137 + ... + 2903679.

It is an arithmetic number, because the mean of its divisors is an integer number (56499762816).

Almost surely, 2^{4074624328544} is an apocalyptic number.

4074624328544 is a gapful number since it is divisible by the number (44) 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 4074624328544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423977230336).

4074624328544 is an abundant number, since it is smaller than the sum of its proper divisors (6773330132128).

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

4074624328544 is a wasteful number, since it uses less digits than its factorization.

4074624328544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372629 (or 2372621 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 53.

The spelling of 4074624328544 in words is "four trillion, seventy-four billion, six hundred twenty-four million, three hundred twenty-eight thousand, five hundred forty-four".