468067333440 has 672 divisors, whose sum is σ = 1809367317504. Its totient is φ = 102094110720.

The previous prime is 468067333439. The next prime is 468067333453. The reversal of 468067333440 is 44333760864.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 468067333440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106449322 + ... + 106453718.

Almost surely, 2^468067333440 is an apocalyptic number.

468067333440 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 468067333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904683658752).

468067333440 is an abundant number, since it is smaller than the sum of its proper divisors (1341299984064).

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

468067333440 is a wasteful number, since it uses less digits than its factorization.

468067333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 468067333440 in words is "four hundred sixty-eight billion, sixty-seven million, three hundred thirty-three thousand, four hundred forty".