42152696107200 has 1008 divisors, whose sum is σ = 175894537029120. Its totient is φ = 9373390848000.

The previous prime is 42152696107183. The next prime is 42152696107211. The reversal of 42152696107200 is 270169625124.

42152696107200 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 2 + 6 + 9 + 610 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

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 143 ways as a sum of consecutive naturals, for example, 1483660995 + ... + 1483689405.

It is an arithmetic number, because the mean of its divisors is an integer number (174498548640).

Almost surely, 2^{42152696107200} is an apocalyptic number.

42152696107200 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 42152696107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87947268514560).

42152696107200 is an abundant number, since it is smaller than the sum of its proper divisors (133741840921920).

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

42152696107200 is a wasteful number, since it uses less digits than its factorization.

42152696107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28846 (or 28828 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 42152696107200 in words is "forty-two trillion, one hundred fifty-two billion, six hundred ninety-six million, one hundred seven thousand, two hundred".