342033041300400 has 180 divisors, whose sum is σ = 1187180336803032. Its totient is φ = 91191085301760.

The previous prime is 342033041300399. The next prime is 342033041300413. The reversal of 342033041300400 is 4003140330243.

342033041300400 is a `hidden beast` number, since 3 + 4 + 20 + 330 + 4 + 1 + 300 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×342033041300400² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9299632 + ... + 27758768.

Almost surely, 2^{342033041300400} is an apocalyptic number.

342033041300400 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 342033041300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593590168401516).

342033041300400 is an abundant number, since it is smaller than the sum of its proper divisors (845147295502632).

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

342033041300400 is a wasteful number, since it uses less digits than its factorization.

342033041300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18464308 (or 18464294 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 342033041300400 its reverse (4003140330243), we get a palindrome (346036181630643).

The spelling of 342033041300400 in words is "three hundred forty-two trillion, thirty-three billion, forty-one million, three hundred thousand, four hundred".