462010122240 has 272 divisors, whose sum is σ = 1484872950528. Its totient is φ = 122665566208.

The previous prime is 462010122107. The next prime is 462010122263. The reversal of 462010122240 is 42221010264.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 462010122240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258538627 + ... + 258540413.

Almost surely, 2^462010122240 is an apocalyptic number.

462010122240 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 462010122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742436475264).

462010122240 is an abundant number, since it is smaller than the sum of its proper divisors (1022862828288).

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

462010122240 is an equidigital number, since it uses as much as digits as its factorization.

462010122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 462010122240 in words is "four hundred sixty-two billion, ten million, one hundred twenty-two thousand, two hundred forty".