361958400000 has 504 divisors, whose sum is σ = 1307740471128. Its totient is φ = 96460800000.

The previous prime is 361958399977. The next prime is 361958400049. The reversal of 361958400000 is 4859163.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230399215 + ... + 230400785.

It is an arithmetic number, because the mean of its divisors is an integer number (2594723157).

Almost surely, 2^361958400000 is an apocalyptic number.

361958400000 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 361958400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653870235564).

361958400000 is an abundant number, since it is smaller than the sum of its proper divisors (945782071128).

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

361958400000 is an frugal number, since it uses more digits than its factorization.

361958400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 361958400000 in words is "three hundred sixty-one billion, nine hundred fifty-eight million, four hundred thousand".