10405235730 has 64 divisors (see below), whose sum is σ = 26649907200. Its totient is φ = 2590930944.

The previous prime is 10405235707. The next prime is 10405235773. The reversal of 10405235730 is 3753250401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15555 + ... + 145094.

It is an arithmetic number, because the mean of its divisors is an integer number (416404800).

Almost surely, 2^10405235730 is an apocalyptic number.

10405235730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405235730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324953600).

10405235730 is an abundant number, since it is smaller than the sum of its proper divisors (16244671470).

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

10405235730 is a wasteful number, since it uses less digits than its factorization.

10405235730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160803.

The product of its (nonzero) digits is 12600, while the sum is 30.

The spelling of 10405235730 in words is "ten billion, four hundred five million, two hundred thirty-five thousand, seven hundred thirty".