214007291514240 has 1024 divisors, whose sum is σ = 828614636697600. Its totient is φ = 45862803210240.

The previous prime is 214007291514169. The next prime is 214007291514301. The reversal of 214007291514240 is 42415192700412.

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 = 214007291514192 and 214007291514201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76513152522 + ... + 76513155318.

It is an arithmetic number, because the mean of its divisors is an integer number (809193981150).

Almost surely, 2^{214007291514240} is an apocalyptic number.

214007291514240 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 214007291514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414307318348800).

214007291514240 is an abundant number, since it is smaller than the sum of its proper divisors (614607345183360).

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

214007291514240 is a wasteful number, since it uses less digits than its factorization.

214007291514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 214007291514240 in words is "two hundred fourteen trillion, seven billion, two hundred ninety-one million, five hundred fourteen thousand, two hundred forty".