3542044103040 has 128 divisors (see below), whose sum is σ = 11296197688320. Its totient is φ = 944048814080.

The previous prime is 3542044103027. The next prime is 3542044103051. The reversal of 3542044103040 is 403014402453.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×3542044103040³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3542044102989 and 3542044103007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3177745 + ... + 4145135.

It is an arithmetic number, because the mean of its divisors is an integer number (88251544440).

Almost surely, 2^{3542044103040} is an apocalyptic number.

3542044103040 is a gapful number since it is divisible by the number (30) 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 3542044103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648098844160).

3542044103040 is an abundant number, since it is smaller than the sum of its proper divisors (7754153585280).

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

3542044103040 is a wasteful number, since it uses less digits than its factorization.

3542044103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969320 (or 969308 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 3542044103040 its reverse (403014402453), we get a palindrome (3945058505493).

The spelling of 3542044103040 in words is "three trillion, five hundred forty-two billion, forty-four million, one hundred three thousand, forty".