387424412640 has 960 divisors, whose sum is σ = 1525731863040. Its totient is φ = 92132536320.

The previous prime is 387424412629. The next prime is 387424412689. The reversal of 387424412640 is 46214424783.

387424412640 is a `hidden beast` number, since 387 + 4 + 2 + 4 + 4 + 1 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 379455330 + ... + 379456350.

It is an arithmetic number, because the mean of its divisors is an integer number (1589304024).

Almost surely, 2^387424412640 is an apocalyptic number.

387424412640 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 387424412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762865931520).

387424412640 is an abundant number, since it is smaller than the sum of its proper divisors (1138307450400).

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

387424412640 is a wasteful number, since it uses less digits than its factorization.

387424412640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 387424412640 in words is "three hundred eighty-seven billion, four hundred twenty-four million, four hundred twelve thousand, six hundred forty".