214559600640 has 1872 divisors, whose sum is σ = 953794114560. Its totient is φ = 40874803200.

The previous prime is 214559600623. The next prime is 214559600641. The reversal of 214559600640 is 46006955412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 214559600592 and 214559600601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214559600641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6921277425 + ... + 6921277455.

Almost surely, 2^214559600640 is an apocalyptic number.

214559600640 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 214559600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476897057280).

214559600640 is an abundant number, since it is smaller than the sum of its proper divisors (739234513920).

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

214559600640 is a wasteful number, since it uses less digits than its factorization.

214559600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 214559600640 in words is "two hundred fourteen billion, five hundred fifty-nine million, six hundred thousand, six hundred forty".