5461101413020 has 96 divisors (see below), whose sum is σ = 12652614072000. Its totient is φ = 1963414272000.

The previous prime is 5461101413017. The next prime is 5461101413023. The reversal of 5461101413020 is 203141011645.

It is an interprime number because it is at equal distance from previous prime (5461101413017) and next prime (5461101413023).

It is a super-3 number, since 3×5461101413020³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5461101413020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461101413023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15580656 + ... + 15927304.

It is an arithmetic number, because the mean of its divisors is an integer number (131798063250).

Almost surely, 2^{5461101413020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461101413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326307036000).

5461101413020 is an abundant number, since it is smaller than the sum of its proper divisors (7191512658980).

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

5461101413020 is a wasteful number, since it uses less digits than its factorization.

5461101413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347479 (or 347477 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 5461101413020 its reverse (203141011645), we get a palindrome (5664242424665).

The spelling of 5461101413020 in words is "five trillion, four hundred sixty-one billion, one hundred one million, four hundred thirteen thousand, twenty".