42404256114000 has 160 divisors (see below), whose sum is σ = 149139623917440. Its totient is φ = 10279819648000.

The previous prime is 42404256113981. The next prime is 42404256114007. The reversal of 42404256114000 is 41165240424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404256114007) 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 31 ways as a sum of consecutive naturals, for example, 321178365 + ... + 321310364.

It is an arithmetic number, because the mean of its divisors is an integer number (932122649484).

Almost surely, 2^{42404256114000} is an apocalyptic number.

42404256114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42404256114000 is an abundant number, since it is smaller than the sum of its proper divisors (106735367803440).

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

42404256114000 is a wasteful number, since it uses less digits than its factorization.

42404256114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642488766 (or 642488750 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 42404256114000 in words is "forty-two trillion, four hundred four billion, two hundred fifty-six million, one hundred fourteen thousand".