42254075497200 has 240 divisors, whose sum is σ = 154697049112320. Its totient is φ = 9657644175360.

The previous prime is 42254075497171. The next prime is 42254075497213. The reversal of 42254075497200 is 279457045224.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42254075497200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212479416 + ... + 212678184.

It is an arithmetic number, because the mean of its divisors is an integer number (644571037968).

Almost surely, 2^{42254075497200} is an apocalyptic number.

42254075497200 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 42254075497200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77348524556160).

42254075497200 is an abundant number, since it is smaller than the sum of its proper divisors (112442973615120).

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

42254075497200 is a wasteful number, since it uses less digits than its factorization.

42254075497200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224104 (or 224093 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 42254075497200 in words is "forty-two trillion, two hundred fifty-four billion, seventy-five million, four hundred ninety-seven thousand, two hundred".