214392407040 has 1056 divisors, whose sum is σ = 892698992640. Its totient is φ = 48325165056.

The previous prime is 214392407029. The next prime is 214392407063. The reversal of 214392407040 is 40704293412.

214392407040 is a `hidden beast` number, since 214 + 39 + 2 + 407 + 0 + 4 + 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 = 214392406986 and 214392407004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897039241 + ... + 897039479.

Almost surely, 2^214392407040 is an apocalyptic number.

214392407040 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 214392407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446349496320).

214392407040 is an abundant number, since it is smaller than the sum of its proper divisors (678306585600).

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

214392407040 is a wasteful number, since it uses less digits than its factorization.

214392407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 214392407040 in words is "two hundred fourteen billion, three hundred ninety-two million, four hundred seven thousand, forty".