42740611267200 has 2304 divisors, whose sum is σ = 187464584355840. Its totient is φ = 8447270092800.

The previous prime is 42740611267043. The next prime is 42740611267229. The reversal of 42740611267200 is 276211604724.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23445205489 + ... + 23445207311.

It is an arithmetic number, because the mean of its divisors is an integer number (81364836960).

Almost surely, 2^{42740611267200} is an apocalyptic number.

42740611267200 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 42740611267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93732292177920).

42740611267200 is an abundant number, since it is smaller than the sum of its proper divisors (144723973088640).

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

42740611267200 is a wasteful number, since it uses less digits than its factorization.

42740611267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 42740611267200 in words is "forty-two trillion, seven hundred forty billion, six hundred eleven million, two hundred sixty-seven thousand, two hundred".