359424000000 has 952 divisors, whose sum is σ = 1433570712560. Its totient is φ = 88473600000.

The previous prime is 359423999993. The next prime is 359424000043. The reversal of 359424000000 is 424953.

It is a super-2 number, since 2×359424000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27647999994 + ... + 27648000006.

Almost surely, 2^359424000000 is an apocalyptic number.

359424000000 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 359424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716785356280).

359424000000 is an abundant number, since it is smaller than the sum of its proper divisors (1074146712560).

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

359424000000 is an frugal number, since it uses more digits than its factorization.

359424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 359424000000 its reverse (424953), we get a palindrome (359424424953).

The spelling of 359424000000 in words is "three hundred fifty-nine billion, four hundred twenty-four million", and thus it is an aban number.