1010404433920 has 224 divisors, whose sum is σ = 2818242979200. Its totient is φ = 340547076096.

The previous prime is 1010404433911. The next prime is 1010404433921. The reversal of 1010404433920 is 293344040101.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (1010404433921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16886616 + ... + 16946344.

Almost surely, 2^{1010404433920} is an apocalyptic number.

1010404433920 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 1010404433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409121489600).

1010404433920 is an abundant number, since it is smaller than the sum of its proper divisors (1807838545280).

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

1010404433920 is an frugal number, since it uses more digits than its factorization.

1010404433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59826 (or 59802 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 1010404433920 in words is "one trillion, ten billion, four hundred four million, four hundred thirty-three thousand, nine hundred twenty".