214741400807480 has 128 divisors (see below), whose sum is σ = 497239605057600. Its totient is φ = 83431502364672.

The previous prime is 214741400807467. The next prime is 214741400807497. The reversal of 214741400807480 is 84708004147412.

It is a super-2 number, since 2×214741400807480² (a number of 29 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, 690258044 + ... + 690569076.

Almost surely, 2^{214741400807480} is an apocalyptic number.

214741400807480 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 214741400807480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248619802528800).

214741400807480 is an abundant number, since it is smaller than the sum of its proper divisors (282498204250120).

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

214741400807480 is a wasteful number, since it uses less digits than its factorization.

214741400807480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314713 (or 314709 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 50.

The spelling of 214741400807480 in words is "two hundred fourteen trillion, seven hundred forty-one billion, four hundred million, eight hundred seven thousand, four hundred eighty".