345454004415240 has 480 divisors, whose sum is σ = 1350750130983000. Its totient is φ = 78956707737600.

The previous prime is 345454004415217. The next prime is 345454004415251. The reversal of 345454004415240 is 42514400454543.

345454004415240 is a `hidden beast` number, since 3 + 4 + 5 + 45 + 40 + 0 + 4 + 41 + 524 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231523186764996 + 113930817650244 = 15215886^2 + 10673838^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3738593040 + ... + 3738685440.

Almost surely, 2^{345454004415240} is an apocalyptic number.

345454004415240 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 345454004415240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675375065491500).

345454004415240 is an abundant number, since it is smaller than the sum of its proper divisors (1005296126567760).

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

345454004415240 is a wasteful number, since it uses less digits than its factorization.

345454004415240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115987 (or 115967 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 345454004415240 its reverse (42514400454543), we get a palindrome (387968404869783).

The spelling of 345454004415240 in words is "three hundred forty-five trillion, four hundred fifty-four billion, four million, four hundred fifteen thousand, two hundred forty".