335321400132000 has 480 divisors, whose sum is σ = 1231957465122384. Its totient is φ = 89330681088000.

The previous prime is 335321400131983. The next prime is 335321400132041. The reversal of 335321400132000 is 231004123533.

335321400132000 is a `hidden beast` number, since 3 + 3 + 53 + 2 + 1 + 400 + 1 + 3 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33628261824144 + 301693138307856 = 5798988^2 + 17369316^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×335321400132000² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 327701170 + ... + 328722830.

Almost surely, 2^{335321400132000} is an apocalyptic number.

335321400132000 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 335321400132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615978732561192).

335321400132000 is an abundant number, since it is smaller than the sum of its proper divisors (896636064990384).

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

335321400132000 is a wasteful number, since it uses less digits than its factorization.

335321400132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022711 (or 1022684 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 335321400132000 its reverse (231004123533), we get a palindrome (335552404255533).

The spelling of 335321400132000 in words is "three hundred thirty-five trillion, three hundred twenty-one billion, four hundred million, one hundred thirty-two thousand".