340281728640 has 384 divisors, whose sum is σ = 1345884059520. Its totient is φ = 77605724160.

The previous prime is 340281728617. The next prime is 340281728653. The reversal of 340281728640 is 46827182043.

It is a happy number.

340281728640 is a `hidden beast` number, since 340 + 28 + 1 + 7 + 286 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18578367 + ... + 18596673.

It is an arithmetic number, because the mean of its divisors is an integer number (3504906405).

Almost surely, 2^340281728640 is an apocalyptic number.

340281728640 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 340281728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672942029760).

340281728640 is an abundant number, since it is smaller than the sum of its proper divisors (1005602330880).

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

340281728640 is a wasteful number, since it uses less digits than its factorization.

340281728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18800 (or 18785 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 340281728640 in words is "three hundred forty billion, two hundred eighty-one million, seven hundred twenty-eight thousand, six hundred forty".