42251405200000 has 96 divisors (see below), whose sum is σ = 105209168799420. Its totient is φ = 16900561920000.

The previous prime is 42251405199989. The next prime is 42251405200003. The reversal of 42251405200000 is 250415224.

It can be written as a sum of positive squares in 6 ways, for example, as 12747127777344 + 29504277422656 = 3570312^2 + 5431784^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42251405200003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52414257 + ... + 53214256.

Almost surely, 2^{42251405200000} is an apocalyptic number.

42251405200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42251405200000 is an abundant number, since it is smaller than the sum of its proper divisors (62957763599420).

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

42251405200000 is an frugal number, since it uses more digits than its factorization.

42251405200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105628552 (or 105628520 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 42251405200000 its reverse (250415224), we get a palindrome (42251655615224).

The spelling of 42251405200000 in words is "forty-two trillion, two hundred fifty-one billion, four hundred five million, two hundred thousand".