214401253752000 has 3584 divisors, whose sum is σ = 983161896837120. Its totient is φ = 44626083840000.

The previous prime is 214401253751981. The next prime is 214401253752029. The reversal of 214401253752000 is 257352104412.

214401253752000 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 0 + 125 + 3 + 7 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×214401253752000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 138056183224 + ... + 138056184776.

It is an arithmetic number, because the mean of its divisors is an integer number (274319725680).

Almost surely, 2^{214401253752000} is an apocalyptic number.

214401253752000 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 214401253752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491580948418560).

214401253752000 is an abundant number, since it is smaller than the sum of its proper divisors (768760643085120).

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

214401253752000 is a wasteful number, since it uses less digits than its factorization.

214401253752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 214401253752000 in words is "two hundred fourteen trillion, four hundred one billion, two hundred fifty-three million, seven hundred fifty-two thousand".