5540434050000 has 240 divisors, whose sum is σ = 18506745492480. Its totient is φ = 1426501440000.

The previous prime is 5540434049989. The next prime is 5540434050017. The reversal of 5540434050000 is 504340455.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5540434050000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3713169 + ... + 4986831.

It is an arithmetic number, because the mean of its divisors is an integer number (77111439552).

Almost surely, 2^{5540434050000} is an apocalyptic number.

5540434050000 is a gapful number since it is divisible by the number (50) 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 5540434050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253372746240).

5540434050000 is an abundant number, since it is smaller than the sum of its proper divisors (12966311442480).

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

5540434050000 is a wasteful number, since it uses less digits than its factorization.

5540434050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273728 (or 1273702 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 5540434050000 its reverse (504340455), we get a palindrome (5540938390455).

The spelling of 5540434050000 in words is "five trillion, five hundred forty billion, four hundred thirty-four million, fifty thousand".