414159114240 has 312 divisors, whose sum is σ = 1441085550840. Its totient is φ = 110018691072.

The previous prime is 414159114233. The next prime is 414159114307. The reversal of 414159114240 is 42411951414.

414159114240 is a `hidden beast` number, since 4 + 1 + 41 + 591 + 1 + 4 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8074100736 + 406085013504 = 89856^2 + 637248^2 .

It is a super-2 number, since 2×414159114240² (a number of 24 digits) contains 22 as substring.

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 = 414159114195 and 414159114204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49577904 + ... + 49586256.

It is an arithmetic number, because the mean of its divisors is an integer number (4618863945).

Almost surely, 2^414159114240 is an apocalyptic number.

414159114240 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 414159114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720542775420).

414159114240 is an abundant number, since it is smaller than the sum of its proper divisors (1026926436600).

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

414159114240 is a wasteful number, since it uses less digits than its factorization.

414159114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8657 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 414159114240 in words is "four hundred fourteen billion, one hundred fifty-nine million, one hundred fourteen thousand, two hundred forty".