355340040000 has 560 divisors, whose sum is σ = 1288110622656. Its totient is φ = 85708800000.

The previous prime is 355340039993. The next prime is 355340040019. The reversal of 355340040000 is 40043553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 318119442 + ... + 318120558.

Almost surely, 2^355340040000 is an apocalyptic number.

355340040000 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 355340040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644055311328).

355340040000 is an abundant number, since it is smaller than the sum of its proper divisors (932770582656).

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

355340040000 is a wasteful number, since it uses less digits than its factorization.

355340040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 355340040000 its reverse (40043553), we get a palindrome (355380083553).

The spelling of 355340040000 in words is "three hundred fifty-five billion, three hundred forty million, forty thousand".