341463133440 has 1152 divisors, whose sum is σ = 1442823298560. Its totient is φ = 76321751040.

The previous prime is 341463133381. The next prime is 341463133477. The reversal of 341463133440 is 44331364143.

341463133440 is a `hidden beast` number, since 3 + 4 + 14 + 631 + 3 + 3 + 4 + 4 + 0 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 341463133395 and 341463133404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400308054 + ... + 400308906.

It is an arithmetic number, because the mean of its divisors is an integer number (1252450780).

Almost surely, 2^341463133440 is an apocalyptic number.

341463133440 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 341463133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721411649280).

341463133440 is an abundant number, since it is smaller than the sum of its proper divisors (1101360165120).

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

341463133440 is an equidigital number, since it uses as much as digits as its factorization.

341463133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 341463133440 its reverse (44331364143), we get a palindrome (385794497583).

The spelling of 341463133440 in words is "three hundred forty-one billion, four hundred sixty-three million, one hundred thirty-three thousand, four hundred forty".