5850141440 has 288 divisors, whose sum is σ = 17010266112. Its totient is φ = 1898496000.

The previous prime is 5850141421. The next prime is 5850141449. The reversal of 5850141440 is 441410585.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5850141397 and 5850141406.

It is not an unprimeable number, because it can be changed into a prime (5850141449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5673725 + ... + 5674755.

It is an arithmetic number, because the mean of its divisors is an integer number (59063424).

Almost surely, 2^5850141440 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 5850141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8505133056).

5850141440 is an abundant number, since it is smaller than the sum of its proper divisors (11160124672).

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

5850141440 is a wasteful number, since it uses less digits than its factorization.

5850141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 5850141440 is about 76486.2173205081. The cubic root of 5850141440 is about 1801.8644713734.

The spelling of 5850141440 in words is "five billion, eight hundred fifty million, one hundred forty-one thousand, four hundred forty".