42097481851200 has 672 divisors, whose sum is σ = 141653210614272. Its totient is φ = 10941465600000.

The previous prime is 42097481851169. The next prime is 42097481851237. The reversal of 42097481851200 is 215818479024.

It is a super-2 number, since 2×42097481851200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35950026615 + ... + 35950027785.

It is an arithmetic number, because the mean of its divisors is an integer number (210793468176).

Almost surely, 2^{42097481851200} is an apocalyptic number.

42097481851200 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 42097481851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70826605307136).

42097481851200 is an abundant number, since it is smaller than the sum of its proper divisors (99555728763072).

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

42097481851200 is a wasteful number, since it uses less digits than its factorization.

42097481851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 42097481851200 in words is "forty-two trillion, ninety-seven billion, four hundred eighty-one million, eight hundred fifty-one thousand, two hundred".