214725181440 has 720 divisors, whose sum is σ = 872478782784. Its totient is φ = 44590694400.

The previous prime is 214725181439. The next prime is 214725181469. The reversal of 214725181440 is 44181527412.

It is a super-2 number, since 2×214725181440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132463830 + ... + 132465450.

Almost surely, 2^214725181440 is an apocalyptic number.

214725181440 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 214725181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436239391392).

214725181440 is an abundant number, since it is smaller than the sum of its proper divisors (657753601344).

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

214725181440 is a wasteful number, since it uses less digits than its factorization.

214725181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 214725181440 in words is "two hundred fourteen billion, seven hundred twenty-five million, one hundred eighty-one thousand, four hundred forty".