20435042400 has 72 divisors (see below), whose sum is σ = 66516070824. Its totient is φ = 5449344000.

The previous prime is 20435042399. The next prime is 20435042437. The reversal of 20435042400 is 424053402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4254901 + ... + 4259700.

It is an arithmetic number, because the mean of its divisors is an integer number (923834317).

Almost surely, 2^20435042400 is an apocalyptic number.

20435042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20435042400 is an abundant number, since it is smaller than the sum of its proper divisors (46081028424).

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

20435042400 is a wasteful number, since it uses less digits than its factorization.

20435042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8514624 (or 8514611 counting only the distinct ones).

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

Adding to 20435042400 its reverse (424053402), we get a palindrome (20859095802).

The spelling of 20435042400 in words is "twenty billion, four hundred thirty-five million, forty-two thousand, four hundred".