5401459840 has 512 divisors, whose sum is σ = 16920576000. Its totient is φ = 1605795840.

The previous prime is 5401459813. The next prime is 5401459849. The reversal of 5401459840 is 489541045.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5401459793 and 5401459802.

It is not an unprimeable number, because it can be changed into a prime (5401459849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60690516 + ... + 60690604.

It is an arithmetic number, because the mean of its divisors is an integer number (33048000).

Almost surely, 2^5401459840 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 5401459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460288000).

5401459840 is an abundant number, since it is smaller than the sum of its proper divisors (11519116160).

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

5401459840 is a wasteful number, since it uses less digits than its factorization.

5401459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 5401459840 is about 73494.6245653381. The cubic root of 5401459840 is about 1754.5687249075.

The spelling of 5401459840 in words is "five billion, four hundred one million, four hundred fifty-nine thousand, eight hundred forty".