214542506270400 has 2688 divisors, whose sum is σ = 932628307968000. Its totient is φ = 41882050560000.

The previous prime is 214542506270357. The next prime is 214542506270447. The reversal of 214542506270400 is 4072605245412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63870943921 + ... + 63870947279.

It is an arithmetic number, because the mean of its divisors is an integer number (346959936000).

Almost surely, 2^{214542506270400} is an apocalyptic number.

214542506270400 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 214542506270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466314153984000).

214542506270400 is an abundant number, since it is smaller than the sum of its proper divisors (718085801697600).

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

214542506270400 is a wasteful number, since it uses less digits than its factorization.

214542506270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 214542506270400 in words is "two hundred fourteen trillion, five hundred forty-two billion, five hundred six million, two hundred seventy thousand, four hundred".