5405841504 has 360 divisors, whose sum is σ = 19104579648. Its totient is φ = 1493614080.

The previous prime is 5405841461. The next prime is 5405841521. The reversal of 5405841504 is 4051485045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3936562 + ... + 3937934.

Almost surely, 2^5405841504 is an apocalyptic number.

5405841504 is a gapful number since it is divisible by the number (54) 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 5405841504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9552289824).

5405841504 is an abundant number, since it is smaller than the sum of its proper divisors (13698738144).

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

5405841504 is a wasteful number, since it uses less digits than its factorization.

5405841504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 5405841504 is about 73524.4279406511. The cubic root of 5405841504 is about 1755.0430320371.

The spelling of 5405841504 in words is "five billion, four hundred five million, eight hundred forty-one thousand, five hundred four".