340948500480 has 1440 divisors, whose sum is σ = 1486122382080. Its totient is φ = 72619130880.

The previous prime is 340948500443. The next prime is 340948500491. The reversal of 340948500480 is 84005849043.

It is a happy number.

340948500480 is a `hidden beast` number, since 3 + 4 + 0 + 94 + 85 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5589319650 + ... + 5589319710.

It is an arithmetic number, because the mean of its divisors is an integer number (1032029432).

Almost surely, 2^340948500480 is an apocalyptic number.

340948500480 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 340948500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743061191040).

340948500480 is an abundant number, since it is smaller than the sum of its proper divisors (1145173881600).

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

340948500480 is an equidigital number, since it uses as much as digits as its factorization.

340948500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 340948500480 in words is "three hundred forty billion, nine hundred forty-eight million, five hundred thousand, four hundred eighty".