5143867223040 has 1584 divisors, whose sum is σ = 22260577517568. Its totient is φ = 1075304595456.

The previous prime is 5143867222987. The next prime is 5143867223141. The reversal of 5143867223040 is 403227683415.

5143867223040 is a `hidden beast` number, since 5 + 1 + 4 + 386 + 7 + 223 + 0 + 40 = 666.

It is a super-2 number, since 2×5143867223040² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 6923104909 + ... + 6923105651.

Almost surely, 2^{5143867223040} 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 5143867223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130288758784).

5143867223040 is an abundant number, since it is smaller than the sum of its proper divisors (17116710294528).

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

5143867223040 is a wasteful number, since it uses less digits than its factorization.

5143867223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5143867223040 in words is "five trillion, one hundred forty-three billion, eight hundred sixty-seven million, two hundred twenty-three thousand, forty".