414289553040 has 480 divisors, whose sum is σ = 1590327962496. Its totient is φ = 99393454080.

The previous prime is 414289553033. The next prime is 414289553047. The reversal of 414289553040 is 40355982414.

414289553040 is a `hidden beast` number, since 4 + 1 + 4 + 28 + 95 + 530 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (414289553033) and next prime (414289553047).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (414289553047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20732494 + ... + 20752466.

Almost surely, 2^414289553040 is an apocalyptic number.

414289553040 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 414289553040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795163981248).

414289553040 is an abundant number, since it is smaller than the sum of its proper divisors (1176038409456).

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

414289553040 is a wasteful number, since it uses less digits than its factorization.

414289553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20109 (or 20091 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 414289553040 in words is "four hundred fourteen billion, two hundred eighty-nine million, five hundred fifty-three thousand, forty".