220414513440 has 96 divisors (see below), whose sum is σ = 757424437056. Its totient is φ = 53433820160.

The previous prime is 220414513367. The next prime is 220414513471. The reversal of 220414513440 is 44315414022.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 220414513398 and 220414513407.

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, 20867307 + ... + 20877866.

It is an arithmetic number, because the mean of its divisors is an integer number (7889837886).

Almost surely, 2^220414513440 is an apocalyptic number.

220414513440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220414513440 is an abundant number, since it is smaller than the sum of its proper divisors (537009923616).

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

220414513440 is a wasteful number, since it uses less digits than its factorization.

220414513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41745202 (or 41745194 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 220414513440 its reverse (44315414022), we get a palindrome (264729927462).

The spelling of 220414513440 in words is "two hundred twenty billion, four hundred fourteen million, five hundred thirteen thousand, four hundred forty".