240284138771376 has 640 divisors, whose sum is σ = 803736717557760. Its totient is φ = 67316954923008.

The previous prime is 240284138771351. The next prime is 240284138771477. The reversal of 240284138771376 is 673177831482042.

240284138771376 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 8 + 413 + 87 + 7 + 137 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29690362786 + ... + 29690370878.

It is an arithmetic number, because the mean of its divisors is an integer number (1255838621184).

Almost surely, 2^{240284138771376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240284138771376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401868358778880).

240284138771376 is an abundant number, since it is smaller than the sum of its proper divisors (563452578786384).

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

240284138771376 is a wasteful number, since it uses less digits than its factorization.

240284138771376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 240284138771376 in words is "two hundred forty trillion, two hundred eighty-four billion, one hundred thirty-eight million, seven hundred seventy-one thousand, three hundred seventy-six".