601476438240 has 384 divisors, whose sum is σ = 2138396682240. Its totient is φ = 159849054720.

The previous prime is 601476438229. The next prime is 601476438287. The reversal of 601476438240 is 42834674106.

601476438240 is a `hidden beast` number, since 60 + 1 + 476 + 4 + 3 + 82 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 108822357 + ... + 108827883.

It is an arithmetic number, because the mean of its divisors is an integer number (5568741360).

Almost surely, 2^601476438240 is an apocalyptic number.

601476438240 is a gapful number since it is divisible by the number (60) 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 601476438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069198341120).

601476438240 is an abundant number, since it is smaller than the sum of its proper divisors (1536920244000).

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

601476438240 is an equidigital number, since it uses as much as digits as its factorization.

601476438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 601476438240 in words is "six hundred one billion, four hundred seventy-six million, four hundred thirty-eight thousand, two hundred forty".