464218487040 has 576 divisors, whose sum is σ = 1928828547072. Its totient is φ = 92265676800.

The previous prime is 464218487009. The next prime is 464218487071. The reversal of 464218487040 is 40784812464.

It is an interprime number because it is at equal distance from previous prime (464218487009) and next prime (464218487071).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6766510 + ... + 6834770.

It is an arithmetic number, because the mean of its divisors is an integer number (3348660672).

Almost surely, 2^464218487040 is an apocalyptic number.

464218487040 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 464218487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964414273536).

464218487040 is an abundant number, since it is smaller than the sum of its proper divisors (1464610060032).

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

464218487040 is a wasteful number, since it uses less digits than its factorization.

464218487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68326 (or 68312 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 464218487040 in words is "four hundred sixty-four billion, two hundred eighteen million, four hundred eighty-seven thousand, forty".