414027959940 has 288 divisors, whose sum is σ = 1517129053440. Its totient is φ = 89280921600.

The previous prime is 414027959903. The next prime is 414027959951. The reversal of 414027959940 is 49959720414.

414027959940 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 2 + 7 + 9 + 599 + 40 = 666.

It is a super-2 number, since 2×414027959940² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5733660 + ... + 5805420.

Almost surely, 2^414027959940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414027959940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758564526720).

414027959940 is an abundant number, since it is smaller than the sum of its proper divisors (1103101093500).

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

414027959940 is a wasteful number, since it uses less digits than its factorization.

414027959940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72043 (or 72038 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 414027959940 in words is "four hundred fourteen billion, twenty-seven million, nine hundred fifty-nine thousand, nine hundred forty".