341001401042400 has 432 divisors, whose sum is σ = 1286643725281152. Its totient is φ = 76845367065600.

The previous prime is 341001401042363. The next prime is 341001401042417. The reversal of 341001401042400 is 4240104100143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82675539 + ... + 86702061.

Almost surely, 2^{341001401042400} is an apocalyptic number.

341001401042400 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 341001401042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643321862640576).

341001401042400 is an abundant number, since it is smaller than the sum of its proper divisors (945642324238752).

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

341001401042400 is a wasteful number, since it uses less digits than its factorization.

341001401042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026695 (or 4026611 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 341001401042400 its reverse (4240104100143), we get a palindrome (345241505142543).

The spelling of 341001401042400 in words is "three hundred forty-one trillion, one billion, four hundred one million, forty-two thousand, four hundred".