214152432540 has 96 divisors (see below), whose sum is σ = 631682392320. Its totient is φ = 54059129856.

The previous prime is 214152432509. The next prime is 214152432577. The reversal of 214152432540 is 45234251412.

It is a super-2 number, since 2×214152432540² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389412 + ... + 1535828.

It is an arithmetic number, because the mean of its divisors is an integer number (6580024920).

Almost surely, 2^214152432540 is an apocalyptic number.

214152432540 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 214152432540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315841196160).

214152432540 is an abundant number, since it is smaller than the sum of its proper divisors (417529959780).

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

214152432540 is a wasteful number, since it uses less digits than its factorization.

214152432540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147731 (or 147729 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 214152432540 its reverse (45234251412), we get a palindrome (259386683952).

The spelling of 214152432540 in words is "two hundred fourteen billion, one hundred fifty-two million, four hundred thirty-two thousand, five hundred forty".