355004312040000 has 2520 divisors, whose sum is σ = 1499623777749240. Its totient is φ = 80027910144000.

The previous prime is 355004312039987. The next prime is 355004312040127. The reversal of 355004312040000 is 40213400553.

355004312040000 is a `hidden beast` number, since 35 + 500 + 4 + 3 + 120 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 188775069327936 + 166229242712064 = 13739544^2 + 12892992^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 623909159716 + ... + 623909160284.

Almost surely, 2^{355004312040000} is an apocalyptic number.

355004312040000 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 355004312040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749811888874620).

355004312040000 is an abundant number, since it is smaller than the sum of its proper divisors (1144619465709240).

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

355004312040000 is a wasteful number, since it uses less digits than its factorization.

355004312040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 355004312040000 its reverse (40213400553), we get a palindrome (355044525440553).

The spelling of 355004312040000 in words is "three hundred fifty-five trillion, four billion, three hundred twelve million, forty thousand".