5154904440 has 768 divisors, whose sum is σ = 21852979200. Its totient is φ = 1026432000.

The previous prime is 5154904429. The next prime is 5154904453. The reversal of 5154904440 is 444094515.

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 = 5154904395 and 5154904404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34138365 + ... + 34138515.

It is an arithmetic number, because the mean of its divisors is an integer number (28454400).

Almost surely, 2^5154904440 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 5154904440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10926489600).

5154904440 is an abundant number, since it is smaller than the sum of its proper divisors (16698074760).

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

5154904440 is a wasteful number, since it uses less digits than its factorization.

5154904440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5154904440 is about 71797.6631931708. The cubic root of 5154904440 is about 1727.4555174337.

Adding to 5154904440 its reverse (444094515), we get a palindrome (5598998955).

The spelling of 5154904440 in words is "five billion, one hundred fifty-four million, nine hundred four thousand, four hundred forty".