10398810240 has 1024 divisors, whose sum is σ = 48117888000. Its totient is φ = 2059665408.

The previous prime is 10398810229. The next prime is 10398810287. The reversal of 10398810240 is 4201889301.

10398810240 is a `hidden beast` number, since 10 + 398 + 8 + 10 + 240 = 666.

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 = 10398810195 and 10398810204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26731966 + ... + 26732354.

It is an arithmetic number, because the mean of its divisors is an integer number (46990125).

Almost surely, 2^10398810240 is an apocalyptic number.

10398810240 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 10398810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944000).

10398810240 is an abundant number, since it is smaller than the sum of its proper divisors (37719077760).

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

10398810240 is a wasteful number, since it uses less digits than its factorization.

10398810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10398810240 in words is "ten billion, three hundred ninety-eight million, eight hundred ten thousand, two hundred forty".