4626261024 has 192 divisors, whose sum is σ = 15368113152. Its totient is φ = 1183564800.

The previous prime is 4626261023. The next prime is 4626261041. The reversal of 4626261024 is 4201626264.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4626261023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490594 + ... + 499934.

It is an arithmetic number, because the mean of its divisors is an integer number (80042256).

Almost surely, 2^4626261024 is an apocalyptic number.

4626261024 is a gapful number since it is divisible by the number (44) 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 4626261024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684056576).

4626261024 is an abundant number, since it is smaller than the sum of its proper divisors (10741852128).

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

4626261024 is a wasteful number, since it uses less digits than its factorization.

4626261024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9439 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4626261024 is about 68016.6231446402. The cubic root of 4626261024 is about 1666.2623359090.

Adding to 4626261024 its reverse (4201626264), we get a palindrome (8827887288).

The spelling of 4626261024 in words is "four billion, six hundred twenty-six million, two hundred sixty-one thousand, twenty-four".