468311122117440 has 896 divisors, whose sum is σ = 1953963803520000. Its totient is φ = 103312000253952.

The previous prime is 468311122117367. The next prime is 468311122117507. The reversal of 468311122117440 is 44711221113864.

It is a happy number.

468311122117440 is a `hidden beast` number, since 4 + 6 + 8 + 311 + 1 + 221 + 1 + 74 + 40 = 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 127 ways as a sum of consecutive naturals, for example, 4723256986 + ... + 4723356134.

Almost surely, 2^{468311122117440} is an apocalyptic number.

468311122117440 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 468311122117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976981901760000).

468311122117440 is an abundant number, since it is smaller than the sum of its proper divisors (1485652681402560).

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

468311122117440 is a wasteful number, since it uses less digits than its factorization.

468311122117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101904 (or 101888 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 468311122117440 in words is "four hundred sixty-eight trillion, three hundred eleven billion, one hundred twenty-two million, one hundred seventeen thousand, four hundred forty".