5461382737440 has 864 divisors, whose sum is σ = 22518212056704. Its totient is φ = 1246344744960.

The previous prime is 5461382737439. The next prime is 5461382737457. The reversal of 5461382737440 is 447372831645.

5461382737440 is a `hidden beast` number, since 5 + 46 + 13 + 82 + 73 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1449794437 + ... + 1449798203.

It is an arithmetic number, because the mean of its divisors is an integer number (26062745436).

Almost surely, 2^{5461382737440} 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 5461382737440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11259106028352).

5461382737440 is an abundant number, since it is smaller than the sum of its proper divisors (17056829319264).

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

5461382737440 is a wasteful number, since it uses less digits than its factorization.

5461382737440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 5461382737440 in words is "five trillion, four hundred sixty-one billion, three hundred eighty-two million, seven hundred thirty-seven thousand, four hundred forty".