4120837079040 has 2160 divisors, whose sum is σ = 17552145278304. Its totient is φ = 917294284800.

The previous prime is 4120837079027. The next prime is 4120837079059. The reversal of 4120837079040 is 409707380214.

4120837079040 is a `hidden beast` number, since 4 + 1 + 208 + 370 + 79 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100508221420 + ... + 100508221460.

Almost surely, 2^{4120837079040} is an apocalyptic number.

4120837079040 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 4120837079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776072639152).

4120837079040 is an abundant number, since it is smaller than the sum of its proper divisors (13431308199264).

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

4120837079040 is an frugal number, since it uses more digits than its factorization.

4120837079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 4120837079040 in words is "four trillion, one hundred twenty billion, eight hundred thirty-seven million, seventy-nine thousand, forty".