240638007780 has 288 divisors, whose sum is σ = 777867417600. Its totient is φ = 60107857920.

The previous prime is 240638007763. The next prime is 240638007851. The reversal of 240638007780 is 87700836042.

It is a happy number.

240638007780 is a `hidden beast` number, since 2 + 4 + 0 + 638 + 0 + 0 + 7 + 7 + 8 + 0 = 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, 41082612 + ... + 41088468.

Almost surely, 2^240638007780 is an apocalyptic number.

240638007780 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 240638007780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388933708800).

240638007780 is an abundant number, since it is smaller than the sum of its proper divisors (537229409820).

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

240638007780 is a wasteful number, since it uses less digits than its factorization.

240638007780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 240638007780 in words is "two hundred forty billion, six hundred thirty-eight million, seven thousand, seven hundred eighty".