5040351503040 has 448 divisors, whose sum is σ = 18781781852160. Its totient is φ = 1121467576320.

The previous prime is 5040351502973. The next prime is 5040351503053. The reversal of 5040351503040 is 403051530405.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5040351502989 and 5040351503007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37625619 + ... + 37759341.

Almost surely, 2^{5040351503040} 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 5040351503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9390890926080).

5040351503040 is an abundant number, since it is smaller than the sum of its proper divisors (13741430349120).

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

5040351503040 is a wasteful number, since it uses less digits than its factorization.

5040351503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133900 (or 133890 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 5040351503040 in words is "five trillion, forty billion, three hundred fifty-one million, five hundred three thousand, forty".