4040533153440 has 288 divisors, whose sum is σ = 15840589879296. Its totient is φ = 918714654720.

The previous prime is 4040533153421. The next prime is 4040533153451. The reversal of 4040533153440 is 443513350404.

4040533153440 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 53 + 31 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4040533153395 and 4040533153404.

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, 875944 + ... + 2974616.

It is an arithmetic number, because the mean of its divisors is an integer number (55002048192).

Almost surely, 2^{4040533153440} is an apocalyptic number.

4040533153440 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 4040533153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920294939648).

4040533153440 is an abundant number, since it is smaller than the sum of its proper divisors (11800056725856).

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

4040533153440 is a wasteful number, since it uses less digits than its factorization.

4040533153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098892 (or 2098881 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 4040533153440 in words is "four trillion, forty billion, five hundred thirty-three million, one hundred fifty-three thousand, four hundred forty".