414324140040 has 320 divisors, whose sum is σ = 1439570880000. Its totient is φ = 106769249280.

The previous prime is 414324140033. The next prime is 414324140149. The reversal of 414324140040 is 40041423414.

414324140040 is a `hidden beast` number, since 4 + 14 + 3 + 241 + 400 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414324139986 and 414324140013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81253411 + ... + 81258509.

It is an arithmetic number, because the mean of its divisors is an integer number (4498659000).

Almost surely, 2^414324140040 is an apocalyptic number.

414324140040 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 414324140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719785440000).

414324140040 is an abundant number, since it is smaller than the sum of its proper divisors (1025246739960).

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

414324140040 is a wasteful number, since it uses less digits than its factorization.

414324140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 414324140040 its reverse (40041423414), we get a palindrome (454365563454).

The spelling of 414324140040 in words is "four hundred fourteen billion, three hundred twenty-four million, one hundred forty thousand, forty".