339394406400 has 1152 divisors, whose sum is σ = 1445669971200. Its totient is φ = 77396705280.

The previous prime is 339394406359. The next prime is 339394406411. The reversal of 339394406400 is 4604493933.

339394406400 is a `hidden beast` number, since 33 + 93 + 94 + 40 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 783820584 + ... + 783821016.

It is an arithmetic number, because the mean of its divisors is an integer number (1254921850).

Almost surely, 2^339394406400 is an apocalyptic number.

339394406400 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 339394406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722834985600).

339394406400 is an abundant number, since it is smaller than the sum of its proper divisors (1106275564800).

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

339394406400 is an frugal number, since it uses more digits than its factorization.

339394406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 339394406400 in words is "three hundred thirty-nine billion, three hundred ninety-four million, four hundred six thousand, four hundred".