214315697111040 has 4080 divisors, whose sum is σ = 962173965916800. Its totient is φ = 45621631254528.

The previous prime is 214315697111023. The next prime is 214315697111053. The reversal of 214315697111040 is 40111796513412.

214315697111040 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 1 + 569 + 71 + 1 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 3632469442531 + ... + 3632469442589.

Almost surely, 2^{214315697111040} is an apocalyptic number.

214315697111040 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 214315697111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481086982958400).

214315697111040 is an abundant number, since it is smaller than the sum of its proper divisors (747858268805760).

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

214315697111040 is an frugal number, since it uses more digits than its factorization.

214315697111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 214315697111040 in words is "two hundred fourteen trillion, three hundred fifteen billion, six hundred ninety-seven million, one hundred eleven thousand, forty".