355861244405940 has 768 divisors, whose sum is σ = 1367055911854080. Its totient is φ = 66935967252480.

The previous prime is 355861244405929. The next prime is 355861244405941. The reversal of 355861244405940 is 49504442168553.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355861244405941) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14325547920 + ... + 14325572760.

It is an arithmetic number, because the mean of its divisors is an integer number (1780020718560).

Almost surely, 2^{355861244405940} is an apocalyptic number.

355861244405940 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 355861244405940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683527955927040).

355861244405940 is an abundant number, since it is smaller than the sum of its proper divisors (1011194667448140).

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

355861244405940 is a wasteful number, since it uses less digits than its factorization.

355861244405940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33032 (or 33030 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 60.

The spelling of 355861244405940 in words is "three hundred fifty-five trillion, eight hundred sixty-one billion, two hundred forty-four million, four hundred five thousand, nine hundred forty".