42513555402400 has 144 divisors (see below), whose sum is σ = 104007825682488. Its totient is φ = 16969125888000.

The previous prime is 42513555402337. The next prime is 42513555402433. The reversal of 42513555402400 is 420455531524.

42513555402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 23547516304 + 42490007886096 = 153452^2 + 6518436^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2776297144 + ... + 2776312456.

Almost surely, 2^{42513555402400} is an apocalyptic number.

42513555402400 is a gapful number since it is divisible by the number (40) 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 42513555402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52003912841244).

42513555402400 is an abundant number, since it is smaller than the sum of its proper divisors (61494270280088).

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

42513555402400 is a wasteful number, since it uses less digits than its factorization.

42513555402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22515 (or 22502 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

The spelling of 42513555402400 in words is "forty-two trillion, five hundred thirteen billion, five hundred fifty-five million, four hundred two thousand, four hundred".