4137142776 has 128 divisors (see below), whose sum is σ = 11376288000. Its totient is φ = 1245984768.

The previous prime is 4137142771. The next prime is 4137142777. The reversal of 4137142776 is 6772417314.

It is a happy number.

It is a super-3 number, since 3×4137142776³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137142771) 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, 6976336 + ... + 6976928.

It is an arithmetic number, because the mean of its divisors is an integer number (88877250).

Almost surely, 2^4137142776 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 4137142776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688144000).

4137142776 is an abundant number, since it is smaller than the sum of its proper divisors (7239145224).

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

4137142776 is a wasteful number, since it uses less digits than its factorization.

4137142776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 4137142776 is about 64320.6248103981. The cubic root of 4137142776 is about 1605.3392949283.

The spelling of 4137142776 in words is "four billion, one hundred thirty-seven million, one hundred forty-two thousand, seven hundred seventy-six".