5403950640 has 480 divisors, whose sum is σ = 21117148416. Its totient is φ = 1272775680.

The previous prime is 5403950639. The next prime is 5403950641. The reversal of 5403950640 is 460593045.

It is a happy number.

5403950640 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 9 + 5 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5403950639) and next prime (5403950641).

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 = 5403950595 and 5403950604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5403950641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7911739 + ... + 7912421.

Almost surely, 2^5403950640 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 5403950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10558574208).

5403950640 is an abundant number, since it is smaller than the sum of its proper divisors (15713197776).

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

5403950640 is a wasteful number, since it uses less digits than its factorization.

5403950640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5403950640 is about 73511.5680692502. The cubic root of 5403950640 is about 1754.8383809091.

The spelling of 5403950640 in words is "five billion, four hundred three million, nine hundred fifty thousand, six hundred forty".