336418648151040 has 2640 divisors, whose sum is σ = 1518903087182208. Its totient is φ = 70972444311552.

The previous prime is 336418648151029. The next prime is 336418648151269. The reversal of 336418648151040 is 40151846814633.

336418648151040 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 1 + 8 + 6 + 4 + 81 + 510 + 40 = 666.

It is a super-2 number, since 2×336418648151040² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38833961749 + ... + 38833970411.

Almost surely, 2^{336418648151040} is an apocalyptic number.

336418648151040 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 336418648151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759451543591104).

336418648151040 is an abundant number, since it is smaller than the sum of its proper divisors (1182484439031168).

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

336418648151040 is an frugal number, since it uses more digits than its factorization.

336418648151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 336418648151040 in words is "three hundred thirty-six trillion, four hundred eighteen billion, six hundred forty-eight million, one hundred fifty-one thousand, forty".