341452368864000 has 4320 divisors, whose sum is σ = 1423547716631040. Its totient is φ = 81085390848000.

The previous prime is 341452368863953. The next prime is 341452368864053. The reversal of 341452368864000 is 468863254143.

341452368864000 is a `hidden beast` number, since 3 + 4 + 14 + 523 + 68 + 8 + 6 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1232680031862 + ... + 1232680032138.

Almost surely, 2^{341452368864000} is an apocalyptic number.

341452368864000 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 341452368864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711773858315520).

341452368864000 is an abundant number, since it is smaller than the sum of its proper divisors (1082095347767040).

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

341452368864000 is a wasteful number, since it uses less digits than its factorization.

341452368864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 341452368864000 in words is "three hundred forty-one trillion, four hundred fifty-two billion, three hundred sixty-eight million, eight hundred sixty-four thousand".