5215190101440 has 1344 divisors, whose sum is σ = 19947539146752. Its totient is φ = 1148870328320.

The previous prime is 5215190101439. The next prime is 5215190101489. The reversal of 5215190101440 is 441010915125.

It is a super-3 number, since 3×5215190101440³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 7703382382 + ... + 7703383058.

It is an arithmetic number, because the mean of its divisors is an integer number (14841919008).

Almost surely, 2^{5215190101440} 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 5215190101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973769573376).

5215190101440 is an abundant number, since it is smaller than the sum of its proper divisors (14732349045312).

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

5215190101440 is a wasteful number, since it uses less digits than its factorization.

5215190101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 5215190101440 in words is "five trillion, two hundred fifteen billion, one hundred ninety million, one hundred one thousand, four hundred forty".