4073397336000 has 2016 divisors, whose sum is σ = 16797443802048. Its totient is φ = 973696204800.

The previous prime is 4073397335989. The next prime is 4073397336031. The reversal of 4073397336000 is 6337933704.

4073397336000 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 3 + 9 + 7 + 33 + 600 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 17482391884 + ... + 17482392116.

It is an arithmetic number, because the mean of its divisors is an integer number (8332065378).

Almost surely, 2^{4073397336000} is an apocalyptic number.

4073397336000 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 4073397336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8398721901024).

4073397336000 is an abundant number, since it is smaller than the sum of its proper divisors (12724046466048).

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

4073397336000 is a wasteful number, since it uses less digits than its factorization.

4073397336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 45.

The spelling of 4073397336000 in words is "four trillion, seventy-three billion, three hundred ninety-seven million, three hundred thirty-six thousand".