415350221400 has 72 divisors (see below), whose sum is σ = 1394884499580. Its totient is φ = 110760058560.

The previous prime is 415350221389. The next prime is 415350221431. The reversal of 415350221400 is 4122053514.

415350221400 is a `hidden beast` number, since 4 + 1 + 5 + 35 + 0 + 221 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115373262 + ... + 115376861.

Almost surely, 2^415350221400 is an apocalyptic number.

415350221400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415350221400 is an abundant number, since it is smaller than the sum of its proper divisors (979534278180).

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

415350221400 is a wasteful number, since it uses less digits than its factorization.

415350221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230750145 (or 230750133 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 415350221400 its reverse (4122053514), we get a palindrome (419472274914).

The spelling of 415350221400 in words is "four hundred fifteen billion, three hundred fifty million, two hundred twenty-one thousand, four hundred".