4003632541440 has 1260 divisors, whose sum is σ = 16783129117944. Its totient is φ = 914603913216.

The previous prime is 4003632541417. The next prime is 4003632541523. The reversal of 4003632541440 is 441452363004.

4003632541440 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 632 + 5 + 4 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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 = 4003632541395 and 4003632541404.

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 139 ways as a sum of consecutive naturals, for example, 2240420227 + ... + 2240422013.

Almost surely, 2^{4003632541440} is an apocalyptic number.

4003632541440 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 4003632541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391564558972).

4003632541440 is an abundant number, since it is smaller than the sum of its proper divisors (12779496576504).

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

4003632541440 is an frugal number, since it uses more digits than its factorization.

4003632541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 4003632541440 in words is "four trillion, three billion, six hundred thirty-two million, five hundred forty-one thousand, four hundred forty".