10421531640 has 384 divisors, whose sum is σ = 38966054400. Its totient is φ = 2395975680.

The previous prime is 10421531579. The next prime is 10421531647. The reversal of 10421531640 is 4613512401.

It is a happy number.

10421531640 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 15 + 3 + 1 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10421531647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4206082 + ... + 4208558.

It is an arithmetic number, because the mean of its divisors is an integer number (101474100).

Almost surely, 2^10421531640 is an apocalyptic number.

10421531640 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 10421531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19483027200).

10421531640 is an abundant number, since it is smaller than the sum of its proper divisors (28544522760).

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

10421531640 is a wasteful number, since it uses less digits than its factorization.

10421531640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10421531640 in words is "ten billion, four hundred twenty-one million, five hundred thirty-one thousand, six hundred forty".