428009101410 has 128 divisors (see below), whose sum is σ = 1124195770368. Its totient is φ = 103428000000.

The previous prime is 428009101393. The next prime is 428009101453. The reversal of 428009101410 is 14101900824.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167779635 + ... + 167782185.

It is an arithmetic number, because the mean of its divisors is an integer number (8782779456).

Almost surely, 2^428009101410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428009101410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562097885184).

428009101410 is an abundant number, since it is smaller than the sum of its proper divisors (696186668958).

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

428009101410 is a wasteful number, since it uses less digits than its factorization.

428009101410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 428009101410 in words is "four hundred twenty-eight billion, nine million, one hundred one thousand, four hundred ten".