10430259840000 has 5280 divisors, whose sum is σ = 53183686972416. Its totient is φ = 1970749440000.

The previous prime is 10430259839959. The next prime is 10430259840017. The reversal of 10430259840000 is 4895203401.

10430259840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 155675519967 + ... + 155675520033.

Almost surely, 2^{10430259840000} is an apocalyptic number.

10430259840000 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 10430259840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26591843486208).

10430259840000 is an abundant number, since it is smaller than the sum of its proper divisors (42753427132416).

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

10430259840000 is an equidigital number, since it uses as much as digits as its factorization.

10430259840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10430259840000 in words is "ten trillion, four hundred thirty billion, two hundred fifty-nine million, eight hundred forty thousand".