214006775040 has 864 divisors, whose sum is σ = 789716438784. Its totient is φ = 53443952640.

The previous prime is 214006775023. The next prime is 214006775089. The reversal of 214006775040 is 40577600412.

214006775040 is a `hidden beast` number, since 2 + 140 + 0 + 6 + 7 + 7 + 504 + 0 = 666.

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 = 214006774986 and 214006775004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2077735629 + ... + 2077735731.

It is an arithmetic number, because the mean of its divisors is an integer number (914023656).

Almost surely, 2^214006775040 is an apocalyptic number.

214006775040 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 214006775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394858219392).

214006775040 is an abundant number, since it is smaller than the sum of its proper divisors (575709663744).

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

214006775040 is a wasteful number, since it uses less digits than its factorization.

214006775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 214006775040 in words is "two hundred fourteen billion, six million, seven hundred seventy-five thousand, forty".