468225239040 has 1536 divisors, whose sum is σ = 1941698304000. Its totient is φ = 105998450688.

The previous prime is 468225239029. The next prime is 468225239123. The reversal of 468225239040 is 40932522864.

468225239040 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 252 + 390 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4827064272 + ... + 4827064368.

It is an arithmetic number, because the mean of its divisors is an integer number (1264126500).

Almost surely, 2^468225239040 is an apocalyptic number.

468225239040 is a gapful number since it is divisible by the number (40) 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 468225239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970849152000).

468225239040 is an abundant number, since it is smaller than the sum of its proper divisors (1473473064960).

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

468225239040 is a wasteful number, since it uses less digits than its factorization.

468225239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 468225239040 in words is "four hundred sixty-eight billion, two hundred twenty-five million, two hundred thirty-nine thousand, forty".