341402431133400 has 576 divisors, whose sum is σ = 1309913730155520. Its totient is φ = 72022531276800.

The previous prime is 341402431133377. The next prime is 341402431133431. The reversal of 341402431133400 is 4331134204143.

It is a super-3 number, since 3×341402431133400³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6133353969 + ... + 6133409631.

It is an arithmetic number, because the mean of its divisors is an integer number (2274155781520).

Almost surely, 2^{341402431133400} is an apocalyptic number.

341402431133400 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 341402431133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654956865077760).

341402431133400 is an abundant number, since it is smaller than the sum of its proper divisors (968511299022120).

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

341402431133400 is a wasteful number, since it uses less digits than its factorization.

341402431133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64356 (or 64334 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 341402431133400 its reverse (4331134204143), we get a palindrome (345733565337543).

The spelling of 341402431133400 in words is "three hundred forty-one trillion, four hundred two billion, four hundred thirty-one million, one hundred thirty-three thousand, four hundred".