4006054126440 has 192 divisors, whose sum is σ = 13088528893440. Its totient is φ = 1062639336960.

The previous prime is 4006054126429. The next prime is 4006054126463. The reversal of 4006054126440 is 446214506004.

4006054126440 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 0 + 5 + 4 + 1 + 2 + 644 + 0 = 666.

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 = 4006054126395 and 4006054126404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103622154 + ... + 103660806.

It is an arithmetic number, because the mean of its divisors is an integer number (68169421320).

Almost surely, 2^{4006054126440} is an apocalyptic number.

4006054126440 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 4006054126440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544264446720).

4006054126440 is an abundant number, since it is smaller than the sum of its proper divisors (9082474767000).

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

4006054126440 is a wasteful number, since it uses less digits than its factorization.

4006054126440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40184 (or 40177 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4006054126440 in words is "four trillion, six billion, fifty-four million, one hundred twenty-six thousand, four hundred forty".