342412541400 has 768 divisors, whose sum is σ = 1217082101760. Its totient is φ = 79154380800.

The previous prime is 342412541399. The next prime is 342412541473. The reversal of 342412541400 is 4145214243.

342412541400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 933004017 + ... + 933004383.

It is an arithmetic number, because the mean of its divisors is an integer number (1584742320).

Almost surely, 2^342412541400 is an apocalyptic number.

342412541400 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 342412541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608541050880).

342412541400 is an abundant number, since it is smaller than the sum of its proper divisors (874669560360).

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

342412541400 is a wasteful number, since it uses less digits than its factorization.

342412541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 342412541400 its reverse (4145214243), we get a palindrome (346557755643).

The spelling of 342412541400 in words is "three hundred forty-two billion, four hundred twelve million, five hundred forty-one thousand, four hundred".