10210699440 has 240 divisors, whose sum is σ = 35132572800. Its totient is φ = 2656862208.

The previous prime is 10210699439. The next prime is 10210699451. The reversal of 10210699440 is 4499601201.

It is a happy number.

10210699440 is a `hidden beast` number, since 102 + 106 + 9 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10210699395 and 10210699404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5061312 + ... + 5063328.

It is an arithmetic number, because the mean of its divisors is an integer number (146385720).

Almost surely, 2^10210699440 is an apocalyptic number.

10210699440 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 10210699440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17566286400).

10210699440 is an abundant number, since it is smaller than the sum of its proper divisors (24921873360).

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

10210699440 is a wasteful number, since it uses less digits than its factorization.

10210699440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10210699440 in words is "ten billion, two hundred ten million, six hundred ninety-nine thousand, four hundred forty".