340427397840 has 160 divisors (see below), whose sum is σ = 1062459141120. Its totient is φ = 90169024512.

The previous prime is 340427397839. The next prime is 340427397857. The reversal of 340427397840 is 48793724043.

It is a happy number.

It is a super-2 number, since 2×340427397840² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 21748897 + ... + 21764543.

It is an arithmetic number, because the mean of its divisors is an integer number (6640369632).

Almost surely, 2^340427397840 is an apocalyptic number.

340427397840 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 340427397840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531229570560).

340427397840 is an abundant number, since it is smaller than the sum of its proper divisors (722031743280).

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

340427397840 is a wasteful number, since it uses less digits than its factorization.

340427397840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16269 (or 16263 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 340427397840 in words is "three hundred forty billion, four hundred twenty-seven million, three hundred ninety-seven thousand, eight hundred forty".