5460391440 has 600 divisors, whose sum is σ = 22860244440. Its totient is φ = 1203019776.

The previous prime is 5460391423. The next prime is 5460391451. The reversal of 5460391440 is 441930645.

5460391440 is a `hidden beast` number, since 5 + 4 + 603 + 9 + 1 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 796594176 + 4663797264 = 28224^2 + 68292^2 .

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 = 5460391395 and 5460391404.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9207784 + ... + 9208376.

Almost surely, 2^5460391440 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 5460391440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430122220).

5460391440 is an abundant number, since it is smaller than the sum of its proper divisors (17399853000).

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

5460391440 is a wasteful number, since it uses less digits than its factorization.

5460391440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5460391440 is about 73894.4614974627. The cubic root of 5460391440 is about 1760.9266212180.

It can be divided in two parts, 5460 and 391440, that added together give a square (396900 = 630²).

The spelling of 5460391440 in words is "five billion, four hundred sixty million, three hundred ninety-one thousand, four hundred forty".