214424403131540 has 192 divisors, whose sum is σ = 548253735321600. Its totient is φ = 68810075195904.

The previous prime is 214424403131399. The next prime is 214424403131573. The reversal of 214424403131540 is 45131304424412.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 214424403131494 and 214424403131503.

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, 79411094 + ... + 82066866.

It is an arithmetic number, because the mean of its divisors is an integer number (2855488204800).

Almost surely, 2^{214424403131540} is an apocalyptic number.

214424403131540 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 214424403131540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274126867660800).

214424403131540 is an abundant number, since it is smaller than the sum of its proper divisors (333829332190060).

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

214424403131540 is a wasteful number, since it uses less digits than its factorization.

214424403131540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656174 (or 2656172 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

Adding to 214424403131540 its reverse (45131304424412), we get a palindrome (259555707555952).

The spelling of 214424403131540 in words is "two hundred fourteen trillion, four hundred twenty-four billion, four hundred three million, one hundred thirty-one thousand, five hundred forty".