341653386240 has 440 divisors, whose sum is σ = 1245132456480. Its totient is φ = 89556959232.

The previous prime is 341653386223. The next prime is 341653386247. The reversal of 341653386240 is 42683356143.

341653386240 is a `hidden beast` number, since 3 + 4 + 16 + 5 + 3 + 3 + 8 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341653386247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24461499 + ... + 24475461.

It is an arithmetic number, because the mean of its divisors is an integer number (2829846492).

Almost surely, 2^341653386240 is an apocalyptic number.

341653386240 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 341653386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622566228240).

341653386240 is an abundant number, since it is smaller than the sum of its proper divisors (903479070240).

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

341653386240 is a wasteful number, since it uses less digits than its factorization.

341653386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14059 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 341653386240 in words is "three hundred forty-one billion, six hundred fifty-three million, three hundred eighty-six thousand, two hundred forty".