355213214400 has 504 divisors, whose sum is σ = 1336716444672. Its totient is φ = 82365184000.

The previous prime is 355213214387. The next prime is 355213214443. The reversal of 355213214400 is 4412312553.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13345105 + ... + 13371695.

It is an arithmetic number, because the mean of its divisors is an integer number (2652215168).

Almost surely, 2^355213214400 is an apocalyptic number.

355213214400 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 355213214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668358222336).

355213214400 is an abundant number, since it is smaller than the sum of its proper divisors (981503230272).

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

355213214400 is a wasteful number, since it uses less digits than its factorization.

355213214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26661 (or 26635 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 355213214400 its reverse (4412312553), we get a palindrome (359625526953).

The spelling of 355213214400 in words is "three hundred fifty-five billion, two hundred thirteen million, two hundred fourteen thousand, four hundred".