355121543040 has 512 divisors, whose sum is σ = 1260165772800. Its totient is φ = 84337459200.

The previous prime is 355121543011. The next prime is 355121543053. The reversal of 355121543040 is 40345121553.

It is a super-2 number, since 2×355121543040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 355121542992 and 355121543010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480542991 + ... + 480543729.

It is an arithmetic number, because the mean of its divisors is an integer number (2461261275).

Almost surely, 2^355121543040 is an apocalyptic number.

355121543040 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 355121543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630082886400).

355121543040 is an abundant number, since it is smaller than the sum of its proper divisors (905044229760).

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

355121543040 is a wasteful number, since it uses less digits than its factorization.

355121543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 355121543040 its reverse (40345121553), we get a palindrome (395466664593).

The spelling of 355121543040 in words is "three hundred fifty-five billion, one hundred twenty-one million, five hundred forty-three thousand, forty".