340544010240 has 1680 divisors, whose sum is σ = 1504417660200. Its totient is φ = 73741860864.

The previous prime is 340544010197. The next prime is 340544010299. The reversal of 340544010240 is 42010445043.

It is a happy number.

340544010240 is a `hidden beast` number, since 3 + 405 + 4 + 4 + 0 + 10 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 17923368951 + ... + 17923368969.

Almost surely, 2^340544010240 is an apocalyptic number.

340544010240 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 340544010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752208830100).

340544010240 is an abundant number, since it is smaller than the sum of its proper divisors (1163873649960).

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

340544010240 is an frugal number, since it uses more digits than its factorization.

340544010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 340544010240 its reverse (42010445043), we get a palindrome (382554455283).

The spelling of 340544010240 in words is "three hundred forty billion, five hundred forty-four million, ten thousand, two hundred forty".