4074491731200 has 648 divisors, whose sum is σ = 15335033390880. Its totient is φ = 944783769600.

The previous prime is 4074491731181. The next prime is 4074491731301. The reversal of 4074491731200 is 21371944704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111706566 + ... + 111743034.

Almost surely, 2^{4074491731200} is an apocalyptic number.

4074491731200 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 4074491731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667516695440).

4074491731200 is an abundant number, since it is smaller than the sum of its proper divisors (11260541659680).

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

4074491731200 is a wasteful number, since it uses less digits than its factorization.

4074491731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36555 (or 36513 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 4074491731200 in words is "four trillion, seventy-four billion, four hundred ninety-one million, seven hundred thirty-one thousand, two hundred".