214226261440 has 112 divisors (see below), whose sum is σ = 544685695488. Its totient is φ = 80058553344.

The previous prime is 214226261407. The next prime is 214226261441. The reversal of 214226261440 is 44162622412.

It is a junction number, because it is equal to n+sod(n) for n = 214226261396 and 214226261405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214226261441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21972 + ... + 654931.

Almost surely, 2^214226261440 is an apocalyptic number.

214226261440 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 214226261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272342847744).

214226261440 is an abundant number, since it is smaller than the sum of its proper divisors (330459434048).

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

214226261440 is a wasteful number, since it uses less digits than its factorization.

214226261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676986 (or 676976 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 214226261440 its reverse (44162622412), we get a palindrome (258388883852).

The spelling of 214226261440 in words is "two hundred fourteen billion, two hundred twenty-six million, two hundred sixty-one thousand, four hundred forty".