464036404240000 has 320 divisors, whose sum is σ = 1162955298304800. Its totient is φ = 184369236480000.

The previous prime is 464036404239979. The next prime is 464036404240027. The reversal of 464036404240000 is 42404630464.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12438301347 + ... + 12438338653.

Almost surely, 2^{464036404240000} is an apocalyptic number.

464036404240000 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 464036404240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581477649152400).

464036404240000 is an abundant number, since it is smaller than the sum of its proper divisors (698918894064800).

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

464036404240000 is an equidigital number, since it uses as much as digits as its factorization.

464036404240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38381 (or 38354 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 464036404240000 its reverse (42404630464), we get a palindrome (464078808870464).

The spelling of 464036404240000 in words is "four hundred sixty-four trillion, thirty-six billion, four hundred four million, two hundred forty thousand".