238467425217840 has 1440 divisors, whose sum is σ = 1029626360695296. Its totient is φ = 50224012001280.

The previous prime is 238467425217787. The next prime is 238467425217869. The reversal of 238467425217840 is 48712524764832.

238467425217840 is a `hidden beast` number, since 2 + 3 + 8 + 4 + 67 + 4 + 2 + 521 + 7 + 8 + 40 = 666.

It is a super-2 number, since 2×238467425217840² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13269560055 + ... + 13269578025.

Almost surely, 2^{238467425217840} is an apocalyptic number.

238467425217840 is a gapful number since it is divisible by the number (20) 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 238467425217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514813180347648).

238467425217840 is an abundant number, since it is smaller than the sum of its proper divisors (791158935477456).

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

238467425217840 is a wasteful number, since it uses less digits than its factorization.

238467425217840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18609 (or 18578 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 238467425217840 in words is "two hundred thirty-eight trillion, four hundred sixty-seven billion, four hundred twenty-five million, two hundred seventeen thousand, eight hundred forty".