42451200000 has 864 divisors, whose sum is σ = 169675702560. Its totient is φ = 10137600000.

The previous prime is 42451199993. The next prime is 42451200017. The reversal of 42451200000 is 215424.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 633599967 + ... + 633600033.

It is an arithmetic number, because the mean of its divisors is an integer number (196383915).

Almost surely, 2^42451200000 is an apocalyptic number.

42451200000 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 42451200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84837851280).

42451200000 is an abundant number, since it is smaller than the sum of its proper divisors (127224502560).

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

42451200000 is an equidigital number, since it uses as much as digits as its factorization.

42451200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

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

Adding to 42451200000 its reverse (215424), we get a palindrome (42451415424).

The spelling of 42451200000 in words is "forty-two billion, four hundred fifty-one million, two hundred thousand".