214514087040 has 384 divisors, whose sum is σ = 809369608320. Its totient is φ = 51920732160.

The previous prime is 214514087027. The next prime is 214514087041. The reversal of 214514087040 is 40780415412.

It is a happy number.

214514087040 is a `hidden beast` number, since 2 + 145 + 1 + 408 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 214514086986 and 214514087004.

It is not an unprimeable number, because it can be changed into a prime (214514087041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46060392 + ... + 46065048.

It is an arithmetic number, because the mean of its divisors is an integer number (2107733355).

Almost surely, 2^214514087040 is an apocalyptic number.

214514087040 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 214514087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404684804160).

214514087040 is an abundant number, since it is smaller than the sum of its proper divisors (594855521280).

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

214514087040 is a wasteful number, since it uses less digits than its factorization.

214514087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 214514087040 in words is "two hundred fourteen billion, five hundred fourteen million, eighty-seven thousand, forty".