4073400960 has 128 divisors (see below), whose sum is σ = 13140912960. Its totient is φ = 1073111040.

The previous prime is 4073400941. The next prime is 4073400967. The reversal of 4073400960 is 690043704.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4073400967) 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, 146580 + ... + 172140.

Almost surely, 2^4073400960 is an apocalyptic number.

4073400960 is a gapful number since it is divisible by the number (40) 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 4073400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570456480).

4073400960 is an abundant number, since it is smaller than the sum of its proper divisors (9067512000).

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

4073400960 is a wasteful number, since it uses less digits than its factorization.

4073400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25666 (or 25654 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 4073400960 is about 63823.2007972023. The cubic root of 4073400960 is about 1597.0519882694.

The spelling of 4073400960 in words is "four billion, seventy-three million, four hundred thousand, nine hundred sixty".