242167415040 has 144 divisors (see below), whose sum is σ = 859358102400. Its totient is φ = 64577968128.

The previous prime is 242167415023. The next prime is 242167415089. The reversal of 242167415040 is 40514761242.

242167415040 is a `hidden beast` number, since 2 + 42 + 167 + 415 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242167414986 and 242167415004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3469020 + ... + 3538139.

It is an arithmetic number, because the mean of its divisors is an integer number (5967764600).

Almost surely, 2^242167415040 is an apocalyptic number.

242167415040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242167415040 is an abundant number, since it is smaller than the sum of its proper divisors (617190687360).

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

242167415040 is an equidigital number, since it uses as much as digits as its factorization.

242167415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007189 (or 7007169 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 242167415040 in words is "two hundred forty-two billion, one hundred sixty-seven million, four hundred fifteen thousand, forty".