21414145440 has 96 divisors (see below), whose sum is σ = 68727367296. Its totient is φ = 5602688000.

The previous prime is 21414145439. The next prime is 21414145517. The reversal of 21414145440 is 4454141412.

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 = 21414145398 and 21414145407.

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, 395436 + ... + 446315.

It is an arithmetic number, because the mean of its divisors is an integer number (715910076).

Almost surely, 2^21414145440 is an apocalyptic number.

21414145440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21414145440 is an abundant number, since it is smaller than the sum of its proper divisors (47313221856).

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

21414145440 is a wasteful number, since it uses less digits than its factorization.

21414145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841822 (or 841814 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 21414145440 its reverse (4454141412), we get a palindrome (25868286852).

The spelling of 21414145440 in words is "twenty-one billion, four hundred fourteen million, one hundred forty-five thousand, four hundred forty".