356027022400 has 189 divisors, whose sum is σ = 1019555838837. Its totient is φ = 122009126400.

The previous prime is 356027022397. The next prime is 356027022443. The reversal of 356027022400 is 4220720653.

The square root of 356027022400 is 596680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 128169728064 + 227857294336 = 358008^2 + 477344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167069335 + ... + 167071465.

Almost surely, 2^356027022400 is an apocalyptic number.

356027022400 is the 596680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356027022400

356027022400 is an abundant number, since it is smaller than the sum of its proper divisors (663528816437).

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

356027022400 is an frugal number, since it uses more digits than its factorization.

356027022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 356027022400 in words is "three hundred fifty-six billion, twenty-seven million, twenty-two thousand, four hundred".