387123600240000 has 2560 divisors, whose sum is σ = 1609711807334400. Its totient is φ = 90847899648000.

The previous prime is 387123600239989. The next prime is 387123600240001. The reversal of 387123600240000 is 42006321783.

It is a happy number.

387123600240000 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 2 + 3 + 600 + 2 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387123600240001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 240898319197 + ... + 240898320803.

It is an arithmetic number, because the mean of its divisors is an integer number (628793674740).

Almost surely, 2^{387123600240000} is an apocalyptic number.

387123600240000 is a gapful number since it is divisible by the number (30) 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 387123600240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804855903667200).

387123600240000 is an abundant number, since it is smaller than the sum of its proper divisors (1222588207094400).

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

387123600240000 is a wasteful number, since it uses less digits than its factorization.

387123600240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 387123600240000 its reverse (42006321783), we get a palindrome (387165606561783).

The spelling of 387123600240000 in words is "three hundred eighty-seven trillion, one hundred twenty-three billion, six hundred million, two hundred forty thousand".