3540205440000 has 1100 divisors, whose sum is σ = 13500812032224. Its totient is φ = 923332608000.

The previous prime is 3540205439899. The next prime is 3540205440011. The reversal of 3540205440000 is 445020453.

3540205440000 is a `hidden beast` number, since 3 + 54 + 0 + 205 + 4 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2436479274 + ... + 2436480726.

Almost surely, 2^{3540205440000} is an apocalyptic number.

3540205440000 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 3540205440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750406016112).

3540205440000 is an abundant number, since it is smaller than the sum of its proper divisors (9960606592224).

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

3540205440000 is an equidigital number, since it uses as much as digits as its factorization.

3540205440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 3540205440000 in words is "three trillion, five hundred forty billion, two hundred five million, four hundred forty thousand".