464340021240 has 128 divisors (see below), whose sum is σ = 1426419072000. Its totient is φ = 120869134848.

The previous prime is 464340021163. The next prime is 464340021251. The reversal of 464340021240 is 42120043464.

It is a super-2 number, since 2×464340021240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 464340021198 and 464340021207.

It is a congruent number.

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, 2028946 + ... + 2246174.

It is an arithmetic number, because the mean of its divisors is an integer number (11143899000).

Almost surely, 2^464340021240 is an apocalyptic number.

464340021240 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 464340021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713209536000).

464340021240 is an abundant number, since it is smaller than the sum of its proper divisors (962079050760).

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

464340021240 is a wasteful number, since it uses less digits than its factorization.

464340021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217669 (or 217665 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 464340021240 in words is "four hundred sixty-four billion, three hundred forty million, twenty-one thousand, two hundred forty".