339952420454400 has 4080 divisors, whose sum is σ = 1465927117722144. Its totient is φ = 77134257192960.

The previous prime is 339952420454371. The next prime is 339952420454447. The reversal of 339952420454400 is 4454024259933.

It is a happy number.

339952420454400 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 5 + 24 + 204 + 5 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4080).

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 239 ways as a sum of consecutive naturals, for example, 1965042892714 + ... + 1965042892886.

Almost surely, 2^{339952420454400} is an apocalyptic number.

339952420454400 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 339952420454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732963558861072).

339952420454400 is an abundant number, since it is smaller than the sum of its proper divisors (1125974697267744).

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

339952420454400 is a wasteful number, since it uses less digits than its factorization.

339952420454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 339952420454400 in words is "three hundred thirty-nine trillion, nine hundred fifty-two billion, four hundred twenty million, four hundred fifty-four thousand, four hundred".