242525015040 has 1056 divisors, whose sum is σ = 999202208256. Its totient is φ = 48766648320.

The previous prime is 242525015027. The next prime is 242525015053. The reversal of 242525015040 is 40510525242.

It is an interprime number because it is at equal distance from previous prime (242525015027) and next prime (242525015053).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×242525015040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242525014989 and 242525015007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3322260444 + ... + 3322260516.

Almost surely, 2^242525015040 is an apocalyptic number.

242525015040 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 242525015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499601104128).

242525015040 is an abundant number, since it is smaller than the sum of its proper divisors (756677193216).

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

242525015040 is a wasteful number, since it uses less digits than its factorization.

242525015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 242525015040 in words is "two hundred forty-two billion, five hundred twenty-five million, fifteen thousand, forty".