10430860998240 has 1536 divisors, whose sum is σ = 41017028935680. Its totient is φ = 2463635865600.

The previous prime is 10430860998161. The next prime is 10430860998251. The reversal of 10430860998240 is 4289906803401.

10430860998240 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 8 + 609 + 9 + 8 + 24 + 0 = 666.

It is a super-2 number, since 2×10430860998240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16530682725 + ... + 16530683355.

It is an arithmetic number, because the mean of its divisors is an integer number (26703794880).

Almost surely, 2^{10430860998240} is an apocalyptic number.

10430860998240 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 10430860998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20508514467840).

10430860998240 is an abundant number, since it is smaller than the sum of its proper divisors (30586167937440).

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

10430860998240 is a wasteful number, since it uses less digits than its factorization.

10430860998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10430860998240 in words is "ten trillion, four hundred thirty billion, eight hundred sixty million, nine hundred ninety-eight thousand, two hundred forty".