352442324120400 has 90 divisors (see below), whose sum is σ = 1223072765355870. Its totient is φ = 93984619764480.

The previous prime is 352442324120357. The next prime is 352442324120407. The reversal of 352442324120400 is 4021423244253.

352442324120400 is a `hidden beast` number, since 3 + 5 + 2 + 4 + 4 + 2 + 3 + 241 + 2 + 0 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18964178524944 + 333478145595456 = 4354788^2 + 18261384^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352442324120407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48950319195 + ... + 48950326394.

It is an arithmetic number, because the mean of its divisors is an integer number (13589697392843).

Almost surely, 2^{352442324120400} is an apocalyptic number.

352442324120400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352442324120400 is an abundant number, since it is smaller than the sum of its proper divisors (870630441235470).

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

352442324120400 is a wasteful number, since it uses less digits than its factorization.

352442324120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97900645613 (or 97900645599 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 352442324120400 its reverse (4021423244253), we get a palindrome (356463747364653).

The spelling of 352442324120400 in words is "three hundred fifty-two trillion, four hundred forty-two billion, three hundred twenty-four million, one hundred twenty thousand, four hundred".