342520232414400 has 252 divisors, whose sum is σ = 1217798262634824. Its totient is φ = 91308681216000.

The previous prime is 342520232414377. The next prime is 342520232414407. The reversal of 342520232414400 is 4414232025243.

342520232414400 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 2 + 0 + 2 + 3 + 241 + 4 + 400 = 666.

It is a super-2 number, since 2×342520232414400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (342520232414407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39879495 + ... + 47701305.

Almost surely, 2^{342520232414400} is an apocalyptic number.

342520232414400 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 342520232414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608899131317412).

342520232414400 is an abundant number, since it is smaller than the sum of its proper divisors (875278030220424).

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

342520232414400 is a wasteful number, since it uses less digits than its factorization.

342520232414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824880 (or 7824862 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 342520232414400 its reverse (4414232025243), we get a palindrome (346934464439643).

The spelling of 342520232414400 in words is "three hundred forty-two trillion, five hundred twenty billion, two hundred thirty-two million, four hundred fourteen thousand, four hundred".