468628540000 has 360 divisors, whose sum is σ = 1243557409248. Its totient is φ = 173681280000.

The previous prime is 468628539997. The next prime is 468628540001. The reversal of 468628540000 is 45826864.

It is a super-2 number, since 2×468628540000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468628540001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 339339310 + ... + 339340690.

Almost surely, 2^468628540000 is an apocalyptic number.

468628540000 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 468628540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621778704624).

468628540000 is an abundant number, since it is smaller than the sum of its proper divisors (774928869248).

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

468628540000 is a wasteful number, since it uses less digits than its factorization.

468628540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 468628540000 in words is "four hundred sixty-eight billion, six hundred twenty-eight million, five hundred forty thousand".