4013054634120 has 768 divisors, whose sum is σ = 14676113088000. Its totient is φ = 859392737280.

The previous prime is 4013054634077. The next prime is 4013054634137. The reversal of 4013054634120 is 214364503104.

It is a happy number.

It is a Cunningham number, because it is equal to 2003261²-1.

It is a super-2 number, since 2×4013054634120² (a number of 26 digits) contains 22 as substring.

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, 10108449762 + ... + 10108450158.

It is an arithmetic number, because the mean of its divisors is an integer number (19109522250).

Almost surely, 2^{4013054634120} is an apocalyptic number.

4013054634120 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 4013054634120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338056544000).

4013054634120 is an abundant number, since it is smaller than the sum of its proper divisors (10663058453880).

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

4013054634120 is a wasteful number, since it uses less digits than its factorization.

4013054634120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 4013054634120 in words is "four trillion, thirteen billion, fifty-four million, six hundred thirty-four thousand, one hundred twenty".