5380040242400 has 144 divisors (see below), whose sum is σ = 13195321070400. Its totient is φ = 2141987727360.

The previous prime is 5380040242399. The next prime is 5380040242457. The reversal of 5380040242400 is 42420400835.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238645529 + ... + 238668071.

It is an arithmetic number, because the mean of its divisors is an integer number (91634174100).

Almost surely, 2^{5380040242400} is an apocalyptic number.

5380040242400 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 5380040242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597660535200).

5380040242400 is an abundant number, since it is smaller than the sum of its proper divisors (7815280828000).

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

5380040242400 is a wasteful number, since it uses less digits than its factorization.

5380040242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23941 (or 23928 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 5380040242400 in words is "five trillion, three hundred eighty billion, forty million, two hundred forty-two thousand, four hundred".