10262408640 has 896 divisors, whose sum is σ = 40450129920. Its totient is φ = 2176204800.

The previous prime is 10262408633. The next prime is 10262408659. The reversal of 10262408640 is 4680426201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218349097 + ... + 218349143.

Almost surely, 2^10262408640 is an apocalyptic number.

10262408640 is a gapful number since it is divisible by the number (10) 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 10262408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225064960).

10262408640 is an abundant number, since it is smaller than the sum of its proper divisors (30187721280).

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

10262408640 is a wasteful number, since it uses less digits than its factorization.

10262408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 10262408640 in words is "ten billion, two hundred sixty-two million, four hundred eight thousand, six hundred forty".