387260804874240 has 5040 divisors, whose sum is σ = 1697688681970176. Its totient is φ = 83875096166400.

The previous prime is 387260804874227. The next prime is 387260804874253. The reversal of 387260804874240 is 42478408062783.

It is a happy number.

387260804874240 is a `hidden beast` number, since 3 + 8 + 72 + 6 + 0 + 8 + 0 + 487 + 42 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (387260804874227) and next prime (387260804874253).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5454377533405 + ... + 5454377533475.

Almost surely, 2^{387260804874240} is an apocalyptic number.

387260804874240 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 387260804874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848844340985088).

387260804874240 is an abundant number, since it is smaller than the sum of its proper divisors (1310427877095936).

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

387260804874240 is an equidigital number, since it uses as much as digits as its factorization.

387260804874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 63.

The spelling of 387260804874240 in words is "three hundred eighty-seven trillion, two hundred sixty billion, eight hundred four million, eight hundred seventy-four thousand, two hundred forty".