414229388352 has 112 divisors (see below), whose sum is σ = 1180701638592. Its totient is φ = 127410554880.

The previous prime is 414229388347. The next prime is 414229388357. The reversal of 414229388352 is 253883922414.

It is an interprime number because it is at equal distance from previous prime (414229388347) and next prime (414229388357).

It is a junction number, because it is equal to n+sod(n) for n = 414229388295 and 414229388304.

It is not an unprimeable number, because it can be changed into a prime (414229388357) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7487898 + ... + 7543014.

It is an arithmetic number, because the mean of its divisors is an integer number (10541978916).

Almost surely, 2^414229388352 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 414229388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590350819296).

414229388352 is an abundant number, since it is smaller than the sum of its proper divisors (766472250240).

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

414229388352 is a wasteful number, since it uses less digits than its factorization.

414229388352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58156 (or 58146 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The spelling of 414229388352 in words is "four hundred fourteen billion, two hundred twenty-nine million, three hundred eighty-eight thousand, three hundred fifty-two".