6426046424400 has 120 divisors (see below), whose sum is σ = 21479758749120. Its totient is φ = 1639107486720.

The previous prime is 6426046424381. The next prime is 6426046424459. The reversal of 6426046424400 is 44246406246.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116386285 + ... + 116441484.

It is an arithmetic number, because the mean of its divisors is an integer number (178997989576).

Almost surely, 2^{6426046424400} is an apocalyptic number.

6426046424400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6426046424400 is an abundant number, since it is smaller than the sum of its proper divisors (15053712324720).

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

6426046424400 is a wasteful number, since it uses less digits than its factorization.

6426046424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232827813 (or 232827802 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 6426046424400 in words is "six trillion, four hundred twenty-six billion, forty-six million, four hundred twenty-four thousand, four hundred".