464069020387120 has 160 divisors (see below), whose sum is σ = 1097836526465280. Its totient is φ = 182394270305280.

The previous prime is 464069020387109. The next prime is 464069020387249. The reversal of 464069020387120 is 21783020960464.

It is a super-2 number, since 2×464069020387120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24459433954 + ... + 24459452926.

It is an arithmetic number, because the mean of its divisors is an integer number (6861478290408).

Almost surely, 2^{464069020387120} is an apocalyptic number.

464069020387120 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 464069020387120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548918263232640).

464069020387120 is an abundant number, since it is smaller than the sum of its proper divisors (633767506078160).

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

464069020387120 is a wasteful number, since it uses less digits than its factorization.

464069020387120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30363 (or 30357 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 464069020387120 in words is "four hundred sixty-four trillion, sixty-nine billion, twenty million, three hundred eighty-seven thousand, one hundred twenty".