2401013432320 has 128 divisors (see below), whose sum is σ = 5784358171680. Its totient is φ = 956736471040.

The previous prime is 2401013432291. The next prime is 2401013432333. The reversal of 2401013432320 is 232343101042.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43062060 + ... + 43117780.

Almost surely, 2^{2401013432320} is an apocalyptic number.

2401013432320 is a gapful number since it is divisible by the number (20) 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 2401013432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892179085840).

2401013432320 is an abundant number, since it is smaller than the sum of its proper divisors (3383344739360).

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

2401013432320 is an frugal number, since it uses more digits than its factorization.

2401013432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56019 (or 55991 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2401013432320 its reverse (232343101042), we get a palindrome (2633356533362).

The spelling of 2401013432320 in words is "two trillion, four hundred one billion, thirteen million, four hundred thirty-two thousand, three hundred twenty".