20354042400 has 72 divisors (see below), whose sum is σ = 66252415824. Its totient is φ = 5427744000.

The previous prime is 20354042369. The next prime is 20354042431. The reversal of 20354042400 is 424045302.

It is an interprime number because it is at equal distance from previous prime (20354042369) and next prime (20354042431).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4238026 + ... + 4242825.

It is an arithmetic number, because the mean of its divisors is an integer number (920172442).

Almost surely, 2^20354042400 is an apocalyptic number.

20354042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20354042400 is an abundant number, since it is smaller than the sum of its proper divisors (45898373424).

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

20354042400 is a wasteful number, since it uses less digits than its factorization.

20354042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480874 (or 8480861 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 20354042400 its reverse (424045302), we get a palindrome (20778087702).

The spelling of 20354042400 in words is "twenty billion, three hundred fifty-four million, forty-two thousand, four hundred".