42700745229120 has 896 divisors, whose sum is σ = 165250078318080. Its totient is φ = 10294103900160.

The previous prime is 42700745229101. The next prime is 42700745229161. The reversal of 42700745229120 is 2192254700724.

42700745229120 is a `hidden beast` number, since 4 + 2 + 70 + 0 + 7 + 452 + 2 + 9 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15510621664 + ... + 15510624416.

It is an arithmetic number, because the mean of its divisors is an integer number (184430890980).

Almost surely, 2^{42700745229120} is an apocalyptic number.

42700745229120 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 42700745229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82625039159040).

42700745229120 is an abundant number, since it is smaller than the sum of its proper divisors (122549333088960).

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

42700745229120 is a wasteful number, since it uses less digits than its factorization.

42700745229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 42700745229120 its reverse (2192254700724), we get a palindrome (44892999929844).

The spelling of 42700745229120 in words is "forty-two trillion, seven hundred billion, seven hundred forty-five million, two hundred twenty-nine thousand, one hundred twenty".