4003158983040 has 576 divisors, whose sum is σ = 16405090284960. Its totient is φ = 915001049088.

The previous prime is 4003158983017. The next prime is 4003158983099. The reversal of 4003158983040 is 403898513004.

4003158983040 is a `hidden beast` number, since 4 + 0 + 0 + 31 + 589 + 8 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29325184 + ... + 29461376.

Almost surely, 2^{4003158983040} is an apocalyptic number.

4003158983040 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 4003158983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202545142480).

4003158983040 is an abundant number, since it is smaller than the sum of its proper divisors (12401931301920).

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

4003158983040 is an frugal number, since it uses more digits than its factorization.

4003158983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136243 (or 136210 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4003158983040 in words is "four trillion, three billion, one hundred fifty-eight million, nine hundred eighty-three thousand, forty".