42252504000 has 1344 divisors, whose sum is σ = 179239956480. Its totient is φ = 8709120000.

The previous prime is 42252503999. The next prime is 42252504001. The reversal of 42252504000 is 40525224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42252503999) and next prime (42252504001).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252504001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 692663970 + ... + 692664030.

Almost surely, 2^42252504000 is an apocalyptic number.

42252504000 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 42252504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89619978240).

42252504000 is an abundant number, since it is smaller than the sum of its proper divisors (136987452480).

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

42252504000 is a wasteful number, since it uses less digits than its factorization.

42252504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The spelling of 42252504000 in words is "forty-two billion, two hundred fifty-two million, five hundred four thousand".