5461444440 has 192 divisors, whose sum is σ = 18469301760. Its totient is φ = 1451468160.

The previous prime is 5461444409. The next prime is 5461444441. The reversal of 5461444440 is 444441645.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5461444395 and 5461444404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461444441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566475 + ... + 3568005.

It is an arithmetic number, because the mean of its divisors is an integer number (96194280).

Almost surely, 2^5461444440 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 5461444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234650880).

5461444440 is an abundant number, since it is smaller than the sum of its proper divisors (13007857320).

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

5461444440 is a wasteful number, since it uses less digits than its factorization.

5461444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 5461444440 is about 73901.5861805415. The cubic root of 5461444440 is about 1761.0398082530.

The spelling of 5461444440 in words is "five billion, four hundred sixty-one million, four hundred forty-four thousand, four hundred forty".