20434434240 has 112 divisors (see below), whose sum is σ = 70777486080. Its totient is φ = 4953799680.

The previous prime is 20434434221. The next prime is 20434434271. The reversal of 20434434240 is 4243443402.

It is a super-2 number, since 2×20434434240² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20434434198 and 20434434207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956980 + ... + 978099.

It is an arithmetic number, because the mean of its divisors is an integer number (631941840).

Almost surely, 2^20434434240 is an apocalyptic number.

20434434240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434434240 is an abundant number, since it is smaller than the sum of its proper divisors (50343051840).

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

20434434240 is a wasteful number, since it uses less digits than its factorization.

20434434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935110 (or 1935100 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 20434434240 its reverse (4243443402), we get a palindrome (24677877642).

The spelling of 20434434240 in words is "twenty billion, four hundred thirty-four million, four hundred thirty-four thousand, two hundred forty".