5401736388 has 144 divisors (see below), whose sum is σ = 14630157360. Its totient is φ = 1677312000.

The previous prime is 5401736387. The next prime is 5401736393. The reversal of 5401736388 is 8836371045.

5401736388 is a `hidden beast` number, since 5 + 4 + 0 + 1 + 7 + 3 + 638 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2074984704 + 3326751684 = 45552^2 + 57678^2 .

It is not an unprimeable number, because it can be changed into a prime (5401736387) 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, 4151338 + ... + 4152638.

It is an arithmetic number, because the mean of its divisors is an integer number (101598315).

Almost surely, 2^5401736388 is an apocalyptic number.

5401736388 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5401736388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315078680).

5401736388 is an abundant number, since it is smaller than the sum of its proper divisors (9228420972).

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

5401736388 is a wasteful number, since it uses less digits than its factorization.

5401736388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5401736388 is about 73496.5059577665. The cubic root of 5401736388 is about 1754.5986683059.

The spelling of 5401736388 in words is "five billion, four hundred one million, seven hundred thirty-six thousand, three hundred eighty-eight".