4034317132440 has 384 divisors, whose sum is σ = 15370660206720. Its totient is φ = 898432819200.

The previous prime is 4034317132387. The next prime is 4034317132477. The reversal of 4034317132440 is 442317134304.

4034317132440 is a `hidden beast` number, since 4 + 0 + 3 + 43 + 171 + 3 + 2 + 440 = 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 = 4034317132395 and 4034317132404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78187450 + ... + 78239030.

It is an arithmetic number, because the mean of its divisors is an integer number (40027760955).

Almost surely, 2^{4034317132440} is an apocalyptic number.

4034317132440 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 4034317132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685330103360).

4034317132440 is an abundant number, since it is smaller than the sum of its proper divisors (11336343074280).

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

4034317132440 is a wasteful number, since it uses less digits than its factorization.

4034317132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52403 (or 52396 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 4034317132440 in words is "four trillion, thirty-four billion, three hundred seventeen million, one hundred thirty-two thousand, four hundred forty".