40214160 has 240 divisors, whose sum is σ = 157847040. Its totient is φ = 8985600.

The previous prime is 40214149. The next prime is 40214171. The reversal of 40214160 is 6141204.

40214160 = T₁₁₉ + T₁₂₀ + ... + T₆₂₃.

It is an interprime number because it is at equal distance from previous prime (40214149) and next prime (40214171).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398110 + ... + 398210.

It is an arithmetic number, because the mean of its divisors is an integer number (657696).

Almost surely, 2^40214160 is an apocalyptic number.

40214160 is a gapful number since it is divisible by the number (40) 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 40214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

40214160 is an abundant number, since it is smaller than the sum of its proper divisors (117632880).

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

40214160 is a wasteful number, since it uses less digits than its factorization.

40214160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40214160 is about 6341.4635534709. The cubic root of 40214160 is about 342.6044507117.

Adding to 40214160 its reverse (6141204), we get a palindrome (46355364).

The spelling of 40214160 in words is "forty million, two hundred fourteen thousand, one hundred sixty".