45010142431400 has 48 divisors (see below), whose sum is σ = 106364131692540. Its totient is φ = 17708908492800.

The previous prime is 45010142431399. The next prime is 45010142431451. The reversal of 45010142431400 is 413424101054.

45010142431400 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 53090611396 + 44957051820004 = 230414^2 + 6705002^2 .

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 11 ways as a sum of consecutive naturals, for example, 1844665769 + ... + 1844690168.

Almost surely, 2^{45010142431400} is an apocalyptic number.

45010142431400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45010142431400 is an abundant number, since it is smaller than the sum of its proper divisors (61353989261140).

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

45010142431400 is a wasteful number, since it uses less digits than its factorization.

45010142431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689356014 (or 3689356005 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 45010142431400 its reverse (413424101054), we get a palindrome (45423566532454).

The spelling of 45010142431400 in words is "forty-five trillion, ten billion, one hundred forty-two million, four hundred thirty-one thousand, four hundred".