361035206120400 has 1440 divisors, whose sum is σ = 1412658324080640. Its totient is φ = 77060500070400.

The previous prime is 361035206120321. The next prime is 361035206120429. The reversal of 361035206120400 is 4021602530163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 99926708994 + ... + 99926712606.

It is an arithmetic number, because the mean of its divisors is an integer number (981012725056).

Almost surely, 2^{361035206120400} is an apocalyptic number.

361035206120400 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 361035206120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706329162040320).

361035206120400 is an abundant number, since it is smaller than the sum of its proper divisors (1051623117960240).

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

361035206120400 is a wasteful number, since it uses less digits than its factorization.

361035206120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 361035206120400 its reverse (4021602530163), we get a palindrome (365056808650563).

The spelling of 361035206120400 in words is "three hundred sixty-one trillion, thirty-five billion, two hundred six million, one hundred twenty thousand, four hundred".