336061440000 has 2240 divisors, whose sum is σ = 1547698078080. Its totient is φ = 70778880000.

The previous prime is 336061439999. The next prime is 336061440007. The reversal of 336061440000 is 44160633.

336061440000 is a `hidden beast` number, since 3 + 3 + 6 + 0 + 614 + 40 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×336061440000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (336061440007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19768319992 + ... + 19768320008.

It is an arithmetic number, because the mean of its divisors is an integer number (690936642).

Almost surely, 2^336061440000 is an apocalyptic number.

336061440000 is a gapful number since it is divisible by the number (30) 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 336061440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773849039040).

336061440000 is an abundant number, since it is smaller than the sum of its proper divisors (1211636638080).

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

336061440000 is a wasteful number, since it uses less digits than its factorization.

336061440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 336061440000 in words is "three hundred thirty-six billion, sixty-one million, four hundred forty thousand".