340145401440 has 192 divisors, whose sum is σ = 1155658746816. Its totient is φ = 83598876672.

The previous prime is 340145401433. The next prime is 340145401481. The reversal of 340145401440 is 44104541043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 340145401398 and 340145401407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4032982 + ... + 4116458.

It is an arithmetic number, because the mean of its divisors is an integer number (6019055973).

Almost surely, 2^340145401440 is an apocalyptic number.

340145401440 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 340145401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577829373408).

340145401440 is an abundant number, since it is smaller than the sum of its proper divisors (815513345376).

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

340145401440 is a wasteful number, since it uses less digits than its factorization.

340145401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84161 (or 84153 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 340145401440 its reverse (44104541043), we get a palindrome (384249942483).

The spelling of 340145401440 in words is "three hundred forty billion, one hundred forty-five million, four hundred one thousand, four hundred forty".