336993493610400 has 288 divisors, whose sum is σ = 1235234335942656. Its totient is φ = 79060056960000.

The previous prime is 336993493610383. The next prime is 336993493610441. The reversal of 336993493610400 is 4016394399633.

It is a super-2 number, since 2×336993493610400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205067166 + ... + 206703965.

It is an arithmetic number, because the mean of its divisors is an integer number (4289008110912).

Almost surely, 2^{336993493610400} is an apocalyptic number.

336993493610400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336993493610400 is an abundant number, since it is smaller than the sum of its proper divisors (898240842332256).

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

336993493610400 is a wasteful number, since it uses less digits than its factorization.

336993493610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411771196 (or 411771183 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 60.

The spelling of 336993493610400 in words is "three hundred thirty-six trillion, nine hundred ninety-three billion, four hundred ninety-three million, six hundred ten thousand, four hundred".