2414642464416 has 96 divisors (see below), whose sum is σ = 7801152605568. Its totient is φ = 636828779520.

The previous prime is 2414642464411. The next prime is 2414642464477. The reversal of 2414642464416 is 6144642464142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2414642464411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138191955 + ... + 138209426.

It is an arithmetic number, because the mean of its divisors is an integer number (81262006308).

Almost surely, 2^{2414642464416} is an apocalyptic number.

2414642464416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2414642464416 is an abundant number, since it is smaller than the sum of its proper divisors (5386510141152).

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

2414642464416 is a wasteful number, since it uses less digits than its factorization.

2414642464416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276401414 (or 276401406 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 48.

The spelling of 2414642464416 in words is "two trillion, four hundred fourteen billion, six hundred forty-two million, four hundred sixty-four thousand, four hundred sixteen".