4201404480 has 1344 divisors, whose sum is σ = 20130259968. Its totient is φ = 778567680.

The previous prime is 4201404461. The next prime is 4201404491. The reversal of 4201404480 is 844041024.

It is a happy number.

4201404480 is a `hidden beast` number, since 42 + 0 + 140 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102473260 + ... + 102473300.

It is an arithmetic number, because the mean of its divisors is an integer number (14977872).

Almost surely, 2^4201404480 is an apocalyptic number.

4201404480 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 4201404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10065129984).

4201404480 is an abundant number, since it is smaller than the sum of its proper divisors (15928855488).

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

4201404480 is a wasteful number, since it uses less digits than its factorization.

4201404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4201404480 is about 64818.2418768050. The cubic root of 4201404480 is about 1613.6084694948.

The spelling of 4201404480 in words is "four billion, two hundred one million, four hundred four thousand, four hundred eighty".