3553138805040 has 640 divisors, whose sum is σ = 13940943436800. Its totient is φ = 823875010560.

The previous prime is 3553138804967. The next prime is 3553138805081. The reversal of 3553138805040 is 405088313553.

3553138805040 is a `hidden beast` number, since 3 + 5 + 5 + 3 + 138 + 8 + 0 + 504 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73703184 + ... + 73751376.

It is an arithmetic number, because the mean of its divisors is an integer number (21782724120).

Almost surely, 2^{3553138805040} is an apocalyptic number.

3553138805040 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 3553138805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970471718400).

3553138805040 is an abundant number, since it is smaller than the sum of its proper divisors (10387804631760).

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

3553138805040 is a wasteful number, since it uses less digits than its factorization.

3553138805040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48362 (or 48350 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 3553138805040 in words is "three trillion, five hundred fifty-three billion, one hundred thirty-eight million, eight hundred five thousand, forty".