20353406400 has 1008 divisors, whose sum is σ = 82249914240. Its totient is φ = 4748083200.

The previous prime is 20353406393. The next prime is 20353406453. The reversal of 20353406400 is 460435302.

20353406400 is a `hidden beast` number, since 203 + 53 + 4 + 0 + 6 + 400 = 666.

It is a super-2 number, since 2×20353406400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 333662370 + ... + 333662430.

Almost surely, 2^20353406400 is an apocalyptic number.

20353406400 is a gapful number since it is divisible by the number (20) 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 20353406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41124957120).

20353406400 is an abundant number, since it is smaller than the sum of its proper divisors (61896507840).

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

20353406400 is a wasteful number, since it uses less digits than its factorization.

20353406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 20353406400 in words is "twenty billion, three hundred fifty-three million, four hundred six thousand, four hundred".