2401014134520 has 384 divisors, whose sum is σ = 8379463996800. Its totient is φ = 594115264512.

The previous prime is 2401014134507. The next prime is 2401014134587. The reversal of 2401014134520 is 254314101042.

2401014134520 is a `hidden beast` number, since 2 + 4 + 0 + 1 + 0 + 1 + 4 + 134 + 520 = 666.

2401014134520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144344124 + ... + 144360756.

It is an arithmetic number, because the mean of its divisors is an integer number (21821520825).

Almost surely, 2^{2401014134520} is an apocalyptic number.

2401014134520 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 2401014134520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189731998400).

2401014134520 is an abundant number, since it is smaller than the sum of its proper divisors (5978449862280).

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

2401014134520 is a wasteful number, since it uses less digits than its factorization.

2401014134520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16999 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2401014134520 its reverse (254314101042), we get a palindrome (2655328235562).

The spelling of 2401014134520 in words is "two trillion, four hundred one billion, fourteen million, one hundred thirty-four thousand, five hundred twenty".