242014190040000 has 1120 divisors, whose sum is σ = 1028934515558400. Its totient is φ = 54617172480000.

The previous prime is 242014190039989. The next prime is 242014190040037. The reversal of 242014190040000 is 40091410242.

It is a happy number.

242014190040000 is a `hidden beast` number, since 2 + 4 + 201 + 419 + 0 + 0 + 40 + 0 + 0 + 0 = 666.

242014190040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 597037390 + ... + 597442610.

Almost surely, 2^{242014190040000} is an apocalyptic number.

242014190040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242014190040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514467257779200).

242014190040000 is an abundant number, since it is smaller than the sum of its proper divisors (786920325518400).

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

242014190040000 is an equidigital number, since it uses as much as digits as its factorization.

242014190040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405348 (or 405317 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 242014190040000 in words is "two hundred forty-two trillion, fourteen billion, one hundred ninety million, forty thousand".