214217972540 has 96 divisors (see below), whose sum is σ = 528881633280. Its totient is φ = 71853984000.

The previous prime is 214217972537. The next prime is 214217972557. The reversal of 214217972540 is 45279712412.

214217972540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 214217972491 and 214217972500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4089515 + ... + 4141565.

It is an arithmetic number, because the mean of its divisors is an integer number (5509183680).

Almost surely, 2^214217972540 is an apocalyptic number.

214217972540 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 214217972540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264440816640).

214217972540 is an abundant number, since it is smaller than the sum of its proper divisors (314663660740).

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

214217972540 is a wasteful number, since it uses less digits than its factorization.

214217972540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53523 (or 53521 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 214217972540 in words is "two hundred fourteen billion, two hundred seventeen million, nine hundred seventy-two thousand, five hundred forty".