4115222737920 has 1408 divisors, whose sum is σ = 18178177489920. Its totient is φ = 861237411840.

The previous prime is 4115222737891. The next prime is 4115222737933. The reversal of 4115222737920 is 297372225114.

4115222737920 is a `hidden beast` number, since 4 + 1 + 1 + 52 + 227 + 379 + 2 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 608667340 + ... + 608674100.

Almost surely, 2^{4115222737920} is an apocalyptic number.

4115222737920 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 4115222737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089088744960).

4115222737920 is an abundant number, since it is smaller than the sum of its proper divisors (14062954752000).

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

4115222737920 is a wasteful number, since it uses less digits than its factorization.

4115222737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6856 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 4115222737920 in words is "four trillion, one hundred fifteen billion, two hundred twenty-two million, seven hundred thirty-seven thousand, nine hundred twenty".