4073754386240 has 224 divisors, whose sum is σ = 12156967897344. Its totient is φ = 1263161180160.

The previous prime is 4073754386209. The next prime is 4073754386279. The reversal of 4073754386240 is 426834573704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4327202 + ... + 5183838.

Almost surely, 2^{4073754386240} is an apocalyptic number.

4073754386240 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 4073754386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078483948672).

4073754386240 is an abundant number, since it is smaller than the sum of its proper divisors (8083213511104).

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

4073754386240 is a wasteful number, since it uses less digits than its factorization.

4073754386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856865 (or 856855 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 53.

The spelling of 4073754386240 in words is "four trillion, seventy-three billion, seven hundred fifty-four million, three hundred eighty-six thousand, two hundred forty".