345421440000 has 1320 divisors, whose sum is σ = 1536293478720. Its totient is φ = 72769536000.

The previous prime is 345421439983. The next prime is 345421440019. The reversal of 345421440000 is 44124543.

It is a happy number.

345421440000 is a `hidden beast` number, since 3 + 45 + 4 + 214 + 400 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 524159671 + ... + 524160329.

It is an arithmetic number, because the mean of its divisors is an integer number (1163858696).

Almost surely, 2^345421440000 is an apocalyptic number.

345421440000 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 345421440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768146739360).

345421440000 is an abundant number, since it is smaller than the sum of its proper divisors (1190872038720).

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

345421440000 is a wasteful number, since it uses less digits than its factorization.

345421440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 345421440000 its reverse (44124543), we get a palindrome (345465564543).

The spelling of 345421440000 in words is "three hundred forty-five billion, four hundred twenty-one million, four hundred forty thousand".