4073368780800 has 1224 divisors, whose sum is σ = 16471566741840. Its totient is φ = 986185728000.

The previous prime is 4073368780781. The next prime is 4073368780807. The reversal of 4073368780800 is 80878633704.

4073368780800 is a `hidden beast` number, since 407 + 3 + 3 + 6 + 87 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4073368780807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5352652420 + ... + 5352653180.

Almost surely, 2^{4073368780800} is an apocalyptic number.

4073368780800 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 4073368780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235783370920).

4073368780800 is an abundant number, since it is smaller than the sum of its proper divisors (12398197961040).

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

4073368780800 is an equidigital number, since it uses as much as digits as its factorization.

4073368780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 4073368780800 in words is "four trillion, seventy-three billion, three hundred sixty-eight million, seven hundred eighty thousand, eight hundred".