214404052440 has 256 divisors, whose sum is σ = 674847313920. Its totient is φ = 54434764800.

The previous prime is 214404052427. The next prime is 214404052463. The reversal of 214404052440 is 44250404412.

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 = 214404052398 and 214404052407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109893465 + ... + 109895415.

It is an arithmetic number, because the mean of its divisors is an integer number (2636122320).

Almost surely, 2^214404052440 is an apocalyptic number.

214404052440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214404052440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337423656960).

214404052440 is an abundant number, since it is smaller than the sum of its proper divisors (460443261480).

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

214404052440 is a wasteful number, since it uses less digits than its factorization.

214404052440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 214404052440 its reverse (44250404412), we get a palindrome (258654456852).

The spelling of 214404052440 in words is "two hundred fourteen billion, four hundred four million, fifty-two thousand, four hundred forty".