240837612642 has 192 divisors, whose sum is σ = 593664349824. Its totient is φ = 69920133120.

The previous prime is 240837612641. The next prime is 240837612643. The reversal of 240837612642 is 246216738042.

It is a happy number.

240837612642 is a `hidden beast` number, since 24 + 0 + 8 + 3 + 7 + 612 + 6 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (240837612641) and next prime (240837612643).

It is a super-3 number, since 3×240837612642³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (240837612641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161310448 + ... + 161311940.

It is an arithmetic number, because the mean of its divisors is an integer number (3092001822).

Almost surely, 2^240837612642 is an apocalyptic number.

240837612642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 240837612642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296832174912).

240837612642 is an abundant number, since it is smaller than the sum of its proper divisors (352826737182).

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

240837612642 is a wasteful number, since it uses less digits than its factorization.

240837612642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 240837612642 in words is "two hundred forty billion, eight hundred thirty-seven million, six hundred twelve thousand, six hundred forty-two".