387466458366240 has 480 divisors, whose sum is σ = 1570258815935040. Its totient is φ = 88987511347200.

The previous prime is 387466458366233. The next prime is 387466458366257. The reversal of 387466458366240 is 42663854664783.

387466458366240 is a `hidden beast` number, since 3 + 8 + 7 + 46 + 6 + 458 + 36 + 62 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68815531 + ... + 74232810.

It is an arithmetic number, because the mean of its divisors is an integer number (3271372533198).

Almost surely, 2^{387466458366240} is an apocalyptic number.

387466458366240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387466458366240 is an abundant number, since it is smaller than the sum of its proper divisors (1182792357568800).

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

387466458366240 is a wasteful number, since it uses less digits than its factorization.

387466458366240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143048398 (or 143048381 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 72.

The spelling of 387466458366240 in words is "three hundred eighty-seven trillion, four hundred sixty-six billion, four hundred fifty-eight million, three hundred sixty-six thousand, two hundred forty".