42751155520400 has 120 divisors (see below), whose sum is σ = 103132366591200. Its totient is φ = 17030221056000.

The previous prime is 42751155520379. The next prime is 42751155520417. The reversal of 42751155520400 is 402555115724.

It is a super-2 number, since 2×42751155520400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99072311 + ... + 99502889.

It is an arithmetic number, because the mean of its divisors is an integer number (859436388260).

Almost surely, 2^{42751155520400} is an apocalyptic number.

42751155520400 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 42751155520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51566183295600).

42751155520400 is an abundant number, since it is smaller than the sum of its proper divisors (60381211070800).

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

42751155520400 is a wasteful number, since it uses less digits than its factorization.

42751155520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431617 (or 431606 counting only the distinct ones).

The product of its (nonzero) digits is 280000, while the sum is 41.

The spelling of 42751155520400 in words is "forty-two trillion, seven hundred fifty-one billion, one hundred fifty-five million, five hundred twenty thousand, four hundred".