45142020000 has 720 divisors, whose sum is σ = 200058610752. Its totient is φ = 9377280000.

The previous prime is 45142019981. The next prime is 45142020013. The reversal of 45142020000 is 2024154.

45142020000 is a `hidden beast` number, since 45 + 1 + 420 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13858372 + ... + 13861628.

Almost surely, 2^45142020000 is an apocalyptic number.

45142020000 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 45142020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100029305376).

45142020000 is an abundant number, since it is smaller than the sum of its proper divisors (154916590752).

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

45142020000 is a wasteful number, since it uses less digits than its factorization.

45142020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 45142020000 its reverse (2024154), we get a palindrome (45144044154).

The spelling of 45142020000 in words is "forty-five billion, one hundred forty-two million, twenty thousand".