340451235401200 has 240 divisors, whose sum is σ = 1019796700690944. Its totient is φ = 106111058457600.

The previous prime is 340451235401141. The next prime is 340451235401209. The reversal of 340451235401200 is 2104532154043.

It is a super-2 number, since 2×340451235401200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340451235401209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989031517 + ... + 989375683.

Almost surely, 2^{340451235401200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340451235401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509898350345472).

340451235401200 is an abundant number, since it is smaller than the sum of its proper divisors (679345465289744).

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

340451235401200 is a wasteful number, since it uses less digits than its factorization.

340451235401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376320 (or 376309 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 340451235401200 its reverse (2104532154043), we get a palindrome (342555767555243).

The spelling of 340451235401200 in words is "three hundred forty trillion, four hundred fifty-one billion, two hundred thirty-five million, four hundred one thousand, two hundred".