214052161919040 has 168 divisors, whose sum is σ = 736459981553088. Its totient is φ = 57064316175360.

The previous prime is 214052161918999. The next prime is 214052161919059. The reversal of 214052161919040 is 40919161250412.

214052161919040 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 5 + 21 + 619 + 1 + 9 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472722 + ... + 20696081.

Almost surely, 2^{214052161919040} is an apocalyptic number.

214052161919040 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 214052161919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368229990776544).

214052161919040 is an abundant number, since it is smaller than the sum of its proper divisors (522407819634048).

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

214052161919040 is a wasteful number, since it uses less digits than its factorization.

214052161919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21172337 (or 21172324 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 214052161919040 in words is "two hundred fourteen trillion, fifty-two billion, one hundred sixty-one million, nine hundred nineteen thousand, forty".