4076131213440 has 2048 divisors, whose sum is σ = 18906628608000. Its totient is φ = 813143162880.

The previous prime is 4076131213387. The next prime is 4076131213447. The reversal of 4076131213440 is 443121316704.

4076131213440 is a `hidden beast` number, since 4 + 0 + 7 + 613 + 1 + 2 + 1 + 34 + 4 + 0 = 666.

It is a super-2 number, since 2×4076131213440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4076131213395 and 4076131213404.

It is not an unprimeable number, because it can be changed into a prime (4076131213447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 798143367 + ... + 798148473.

It is an arithmetic number, because the mean of its divisors is an integer number (9231752250).

Almost surely, 2^{4076131213440} is an apocalyptic number.

4076131213440 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 4076131213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9453314304000).

4076131213440 is an abundant number, since it is smaller than the sum of its proper divisors (14830497394560).

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

4076131213440 is a wasteful number, since it uses less digits than its factorization.

4076131213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 4076131213440 in words is "four trillion, seventy-six billion, one hundred thirty-one million, two hundred thirteen thousand, four hundred forty".