387821918615040 has 5760 divisors, whose sum is σ = 1836558031334400. Its totient is φ = 77155278520320.

The previous prime is 387821918615003. The next prime is 387821918615051. The reversal of 387821918615040 is 40516819128783.

387821918615040 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 2 + 1 + 9 + 1 + 8 + 615 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1171667427675 + ... + 1171667428005.

It is an arithmetic number, because the mean of its divisors is an integer number (318846880440).

It is a 1-persistent number, because it is pandigital, but 2⋅387821918615040 = 775643837230080 is not.

Almost surely, 2^{387821918615040} is an apocalyptic number.

387821918615040 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 387821918615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918279015667200).

387821918615040 is an abundant number, since it is smaller than the sum of its proper divisors (1448736112719360).

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

387821918615040 is a wasteful number, since it uses less digits than its factorization.

387821918615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 387821918615040 in words is "three hundred eighty-seven trillion, eight hundred twenty-one billion, nine hundred eighteen million, six hundred fifteen thousand, forty".