414428002640 has 40 divisors (see below), whose sum is σ = 965556771840. Its totient is φ = 165425108096.

The previous prime is 414428002633. The next prime is 414428002687. The reversal of 414428002640 is 46200824414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 414428002640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5369144 + ... + 5445783.

It is an arithmetic number, because the mean of its divisors is an integer number (24138919296).

Almost surely, 2^414428002640 is an apocalyptic number.

414428002640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414428002640 is an abundant number, since it is smaller than the sum of its proper divisors (551128769200).

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

414428002640 is a wasteful number, since it uses less digits than its factorization.

414428002640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10815419 (or 10815413 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The spelling of 414428002640 in words is "four hundred fourteen billion, four hundred twenty-eight million, two thousand, six hundred forty".