242157620532240 has 480 divisors, whose sum is σ = 954432712396800. Its totient is φ = 54997754692608.

The previous prime is 242157620532227. The next prime is 242157620532251. The reversal of 242157620532240 is 42235026751242.

242157620532240 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 5 + 76 + 2 + 0 + 532 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35649937 + ... + 41895503.

It is an arithmetic number, because the mean of its divisors is an integer number (1988401484160).

Almost surely, 2^{242157620532240} is an apocalyptic number.

242157620532240 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 242157620532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477216356198400).

242157620532240 is an abundant number, since it is smaller than the sum of its proper divisors (712275091864560).

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

242157620532240 is a wasteful number, since it uses less digits than its factorization.

242157620532240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245764 (or 6245741 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 242157620532240 in words is "two hundred forty-two trillion, one hundred fifty-seven billion, six hundred twenty million, five hundred thirty-two thousand, two hundred forty".