5054117040 has 640 divisors, whose sum is σ = 21317683200. Its totient is φ = 1074954240.

The previous prime is 5054117011. The next prime is 5054117053. The reversal of 5054117040 is 407114505.

It is a happy number.

5054117040 is a `hidden beast` number, since 50 + 541 + 1 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5054116995 and 5054117013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20971320 + ... + 20971560.

It is an arithmetic number, because the mean of its divisors is an integer number (33308880).

Almost surely, 2^5054117040 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 5054117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10658841600).

5054117040 is an abundant number, since it is smaller than the sum of its proper divisors (16263566160).

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

5054117040 is a wasteful number, since it uses less digits than its factorization.

5054117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5054117040 is about 71092.3135085643. The cubic root of 5054117040 is about 1716.1230778757.

The spelling of 5054117040 in words is "five billion, fifty-four million, one hundred seventeen thousand, forty".