4140859373760 has 448 divisors, whose sum is σ = 14107919155200. Its totient is φ = 1025975808000.

The previous prime is 4140859373689. The next prime is 4140859373821. The reversal of 4140859373760 is 673739580414.

It is a hoax number, since the sum of its digits (57) 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 (57).

It is a self number, because there is not a number n which added to its sum of digits gives 4140859373760.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217575445 + ... + 217594475.

Almost surely, 2^{4140859373760} is an apocalyptic number.

4140859373760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140859373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053959577600).

4140859373760 is an abundant number, since it is smaller than the sum of its proper divisors (9967059781440).

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

4140859373760 is a wasteful number, since it uses less digits than its factorization.

4140859373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19300 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 4140859373760 in words is "four trillion, one hundred forty billion, eight hundred fifty-nine million, three hundred seventy-three thousand, seven hundred sixty".